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Finding the Third Proportional to 762,744 and 1,035,900

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Solution

The third proportional to 762,744 and 1,035,900 is: 1,406,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,744 : 1,035,900 = 1,035,900 : x
  2. Step 2: Convert to fraction form
    762,744/1,035,900 = 1,035,900/x
  3. Step 3: Cross multiply
    762,744x = 1,035,900 × 1,035,900
  4. Step 4: Simplify right side
    762,744x = 1,073,088,810,000
  5. Step 5: Solve for x
    x = 1,073,088,810,000/762,744
  6. Step 6: Final answer
    x = 1,406,879.39

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