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Finding the Third Proportional to 564,516 and 1,217,664

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Solution

The third proportional to 564,516 and 1,217,664 is: 2,626,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,516 : 1,217,664 = 1,217,664 : x
  2. Step 2: Convert to fraction form
    564,516/1,217,664 = 1,217,664/x
  3. Step 3: Cross multiply
    564,516x = 1,217,664 × 1,217,664
  4. Step 4: Simplify right side
    564,516x = 1,482,705,616,896
  5. Step 5: Solve for x
    x = 1,482,705,616,896/564,516
  6. Step 6: Final answer
    x = 2,626,507.69

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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.