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Finding the Third Proportional to 779,394.75 and 1,674,821.63

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Solution

The third proportional to 779,394.75 and 1,674,821.63 is: 3,598,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,394.75 : 1,674,821.63 = 1,674,821.63 : x
  2. Step 2: Convert to fraction form
    779,394.75/1,674,821.63 = 1,674,821.63/x
  3. Step 3: Cross multiply
    779,394.75x = 1,674,821.63 × 1,674,821.63
  4. Step 4: Simplify right side
    779,394.75x = 2,805,027,475,567.64
  5. Step 5: Solve for x
    x = 2,805,027,475,567.64/779,394.75
  6. Step 6: Final answer
    x = 3,598,981.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.