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Finding the Third Proportional to 462,727 and 1,009,532

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Solution

The third proportional to 462,727 and 1,009,532 is: 2,202,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,727 : 1,009,532 = 1,009,532 : x
  2. Step 2: Convert to fraction form
    462,727/1,009,532 = 1,009,532/x
  3. Step 3: Cross multiply
    462,727x = 1,009,532 × 1,009,532
  4. Step 4: Simplify right side
    462,727x = 1,019,154,859,024
  5. Step 5: Solve for x
    x = 1,019,154,859,024/462,727
  6. Step 6: Final answer
    x = 2,202,497.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.