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Finding the Third Proportional to 563,862 and 1,215,750

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Solution

The third proportional to 563,862 and 1,215,750 is: 2,621,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,862 : 1,215,750 = 1,215,750 : x
  2. Step 2: Convert to fraction form
    563,862/1,215,750 = 1,215,750/x
  3. Step 3: Cross multiply
    563,862x = 1,215,750 × 1,215,750
  4. Step 4: Simplify right side
    563,862x = 1,478,048,062,500
  5. Step 5: Solve for x
    x = 1,478,048,062,500/563,862
  6. Step 6: Final answer
    x = 2,621,293.97

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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.