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Finding the Third Proportional to 564,621 and 1,207,785

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Solution

The third proportional to 564,621 and 1,207,785 is: 2,583,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,621 : 1,207,785 = 1,207,785 : x
  2. Step 2: Convert to fraction form
    564,621/1,207,785 = 1,207,785/x
  3. Step 3: Cross multiply
    564,621x = 1,207,785 × 1,207,785
  4. Step 4: Simplify right side
    564,621x = 1,458,744,606,225
  5. Step 5: Solve for x
    x = 1,458,744,606,225/564,621
  6. Step 6: Final answer
    x = 2,583,581.92

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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.