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Finding the Third Proportional to 564,512 and 1,220,032

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Solution

The third proportional to 564,512 and 1,220,032 is: 2,636,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,512 : 1,220,032 = 1,220,032 : x
  2. Step 2: Convert to fraction form
    564,512/1,220,032 = 1,220,032/x
  3. Step 3: Cross multiply
    564,512x = 1,220,032 × 1,220,032
  4. Step 4: Simplify right side
    564,512x = 1,488,478,081,024
  5. Step 5: Solve for x
    x = 1,488,478,081,024/564,512
  6. Step 6: Final answer
    x = 2,636,751.89

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Why These Related Problems?

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