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Finding the Third Proportional to 773,577.84 and 1,050,580.13

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Solution

The third proportional to 773,577.84 and 1,050,580.13 is: 1,426,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,577.84 : 1,050,580.13 = 1,050,580.13 : x
  2. Step 2: Convert to fraction form
    773,577.84/1,050,580.13 = 1,050,580.13/x
  3. Step 3: Cross multiply
    773,577.84x = 1,050,580.13 × 1,050,580.13
  4. Step 4: Simplify right side
    773,577.84x = 1,103,718,599,045.02
  5. Step 5: Solve for x
    x = 1,103,718,599,045.02/773,577.84
  6. Step 6: Final answer
    x = 1,426,771.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.