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Finding the Third Proportional to 762,737 and 1,035,892

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Solution

The third proportional to 762,737 and 1,035,892 is: 1,406,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,737 : 1,035,892 = 1,035,892 : x
  2. Step 2: Convert to fraction form
    762,737/1,035,892 = 1,035,892/x
  3. Step 3: Cross multiply
    762,737x = 1,035,892 × 1,035,892
  4. Step 4: Simplify right side
    762,737x = 1,073,072,235,664
  5. Step 5: Solve for x
    x = 1,073,072,235,664/762,737
  6. Step 6: Final answer
    x = 1,406,870.57

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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.