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Finding the Third Proportional to 746,352 and 1,610,592

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Solution

The third proportional to 746,352 and 1,610,592 is: 3,475,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,352 : 1,610,592 = 1,610,592 : x
  2. Step 2: Convert to fraction form
    746,352/1,610,592 = 1,610,592/x
  3. Step 3: Cross multiply
    746,352x = 1,610,592 × 1,610,592
  4. Step 4: Simplify right side
    746,352x = 2,594,006,590,464
  5. Step 5: Solve for x
    x = 2,594,006,590,464/746,352
  6. Step 6: Final answer
    x = 3,475,580.68

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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.