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Finding the Third Proportional to 564,495 and 1,217,622

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Solution

The third proportional to 564,495 and 1,217,622 is: 2,626,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,495 : 1,217,622 = 1,217,622 : x
  2. Step 2: Convert to fraction form
    564,495/1,217,622 = 1,217,622/x
  3. Step 3: Cross multiply
    564,495x = 1,217,622 × 1,217,622
  4. Step 4: Simplify right side
    564,495x = 1,482,603,334,884
  5. Step 5: Solve for x
    x = 1,482,603,334,884/564,495
  6. Step 6: Final answer
    x = 2,626,424.21

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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.