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Finding the Third Proportional to 564,570 and 1,242,864

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Solution

The third proportional to 564,570 and 1,242,864 is: 2,736,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,570 : 1,242,864 = 1,242,864 : x
  2. Step 2: Convert to fraction form
    564,570/1,242,864 = 1,242,864/x
  3. Step 3: Cross multiply
    564,570x = 1,242,864 × 1,242,864
  4. Step 4: Simplify right side
    564,570x = 1,544,710,922,496
  5. Step 5: Solve for x
    x = 1,544,710,922,496/564,570
  6. Step 6: Final answer
    x = 2,736,083.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.