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Finding the Third Proportional to 1,024,564 and 2,206,952

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Solution

The third proportional to 1,024,564 and 2,206,952 is: 4,753,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,564 : 2,206,952 = 2,206,952 : x
  2. Step 2: Convert to fraction form
    1,024,564/2,206,952 = 2,206,952/x
  3. Step 3: Cross multiply
    1,024,564x = 2,206,952 × 2,206,952
  4. Step 4: Simplify right side
    1,024,564x = 4,870,637,130,304
  5. Step 5: Solve for x
    x = 4,870,637,130,304/1,024,564
  6. Step 6: Final answer
    x = 4,753,863.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.