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Finding the Third Proportional to 1,026,704 and 1,586,712

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Solution

The third proportional to 1,026,704 and 1,586,712 is: 2,452,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,704 : 1,586,712 = 1,586,712 : x
  2. Step 2: Convert to fraction form
    1,026,704/1,586,712 = 1,586,712/x
  3. Step 3: Cross multiply
    1,026,704x = 1,586,712 × 1,586,712
  4. Step 4: Simplify right side
    1,026,704x = 2,517,654,970,944
  5. Step 5: Solve for x
    x = 2,517,654,970,944/1,026,704
  6. Step 6: Final answer
    x = 2,452,172.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.