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Finding the Third Proportional to 564,499 and 1,221,009

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Solution

The third proportional to 564,499 and 1,221,009 is: 2,641,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,499 : 1,221,009 = 1,221,009 : x
  2. Step 2: Convert to fraction form
    564,499/1,221,009 = 1,221,009/x
  3. Step 3: Cross multiply
    564,499x = 1,221,009 × 1,221,009
  4. Step 4: Simplify right side
    564,499x = 1,490,862,978,081
  5. Step 5: Solve for x
    x = 1,490,862,978,081/564,499
  6. Step 6: Final answer
    x = 2,641,037.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.