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Finding the Third Proportional to 746,294 and 1,610,524

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Solution

The third proportional to 746,294 and 1,610,524 is: 3,475,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,294 : 1,610,524 = 1,610,524 : x
  2. Step 2: Convert to fraction form
    746,294/1,610,524 = 1,610,524/x
  3. Step 3: Cross multiply
    746,294x = 1,610,524 × 1,610,524
  4. Step 4: Simplify right side
    746,294x = 2,593,787,554,576
  5. Step 5: Solve for x
    x = 2,593,787,554,576/746,294
  6. Step 6: Final answer
    x = 3,475,557.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.