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Finding the Third Proportional to 564,557 and 1,207,858

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Solution

The third proportional to 564,557 and 1,207,858 is: 2,584,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,557 : 1,207,858 = 1,207,858 : x
  2. Step 2: Convert to fraction form
    564,557/1,207,858 = 1,207,858/x
  3. Step 3: Cross multiply
    564,557x = 1,207,858 × 1,207,858
  4. Step 4: Simplify right side
    564,557x = 1,458,920,948,164
  5. Step 5: Solve for x
    x = 1,458,920,948,164/564,557
  6. Step 6: Final answer
    x = 2,584,187.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.