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Finding the Third Proportional to 564,812 and 1,243,348

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Solution

The third proportional to 564,812 and 1,243,348 is: 2,737,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,812 : 1,243,348 = 1,243,348 : x
  2. Step 2: Convert to fraction form
    564,812/1,243,348 = 1,243,348/x
  3. Step 3: Cross multiply
    564,812x = 1,243,348 × 1,243,348
  4. Step 4: Simplify right side
    564,812x = 1,545,914,249,104
  5. Step 5: Solve for x
    x = 1,545,914,249,104/564,812
  6. Step 6: Final answer
    x = 2,737,042.15

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Why These Related Problems?

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