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Finding the Third Proportional to 721,721 and 1,009,002

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Solution

The third proportional to 721,721 and 1,009,002 is: 1,410,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,721 : 1,009,002 = 1,009,002 : x
  2. Step 2: Convert to fraction form
    721,721/1,009,002 = 1,009,002/x
  3. Step 3: Cross multiply
    721,721x = 1,009,002 × 1,009,002
  4. Step 4: Simplify right side
    721,721x = 1,018,085,036,004
  5. Step 5: Solve for x
    x = 1,018,085,036,004/721,721
  6. Step 6: Final answer
    x = 1,410,635.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.