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Finding the Third Proportional to 781,649 and 1,174,354

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Solution

The third proportional to 781,649 and 1,174,354 is: 1,764,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,649 : 1,174,354 = 1,174,354 : x
  2. Step 2: Convert to fraction form
    781,649/1,174,354 = 1,174,354/x
  3. Step 3: Cross multiply
    781,649x = 1,174,354 × 1,174,354
  4. Step 4: Simplify right side
    781,649x = 1,379,107,317,316
  5. Step 5: Solve for x
    x = 1,379,107,317,316/781,649
  6. Step 6: Final answer
    x = 1,764,356.27

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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.