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Finding the Third Proportional to 763,351 and 1,036,709

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Solution

The third proportional to 763,351 and 1,036,709 is: 1,407,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,351 : 1,036,709 = 1,036,709 : x
  2. Step 2: Convert to fraction form
    763,351/1,036,709 = 1,036,709/x
  3. Step 3: Cross multiply
    763,351x = 1,036,709 × 1,036,709
  4. Step 4: Simplify right side
    763,351x = 1,074,765,550,681
  5. Step 5: Solve for x
    x = 1,074,765,550,681/763,351
  6. Step 6: Final answer
    x = 1,407,957.22

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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.