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Finding the Third Proportional to 564,498 and 1,217,628

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Solution

The third proportional to 564,498 and 1,217,628 is: 2,626,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,498 : 1,217,628 = 1,217,628 : x
  2. Step 2: Convert to fraction form
    564,498/1,217,628 = 1,217,628/x
  3. Step 3: Cross multiply
    564,498x = 1,217,628 × 1,217,628
  4. Step 4: Simplify right side
    564,498x = 1,482,617,946,384
  5. Step 5: Solve for x
    x = 1,482,617,946,384/564,498
  6. Step 6: Final answer
    x = 2,626,436.14

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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.