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Finding the Third Proportional to 804,984,945.75 and 1,208,329,437.38

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Solution

The third proportional to 804,984,945.75 and 1,208,329,437.38 is: 1,813,773,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,984,945.75 : 1,208,329,437.38 = 1,208,329,437.38 : x
  2. Step 2: Convert to fraction form
    804,984,945.75/1,208,329,437.38 = 1,208,329,437.38/x
  3. Step 3: Cross multiply
    804,984,945.75x = 1,208,329,437.38 × 1,208,329,437.38
  4. Step 4: Simplify right side
    804,984,945.75x = 1,460,060,029,226,983,936
  5. Step 5: Solve for x
    x = 1,460,060,029,226,983,936/804,984,945.75
  6. Step 6: Final answer
    x = 1,813,773,085.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.