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Finding the Third Proportional to 563,874 and 1,215,772.50

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Solution

The third proportional to 563,874 and 1,215,772.50 is: 2,621,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,874 : 1,215,772.50 = 1,215,772.50 : x
  2. Step 2: Convert to fraction form
    563,874/1,215,772.50 = 1,215,772.50/x
  3. Step 3: Cross multiply
    563,874x = 1,215,772.50 × 1,215,772.50
  4. Step 4: Simplify right side
    563,874x = 1,478,102,771,756.25
  5. Step 5: Solve for x
    x = 1,478,102,771,756.25/563,874
  6. Step 6: Final answer
    x = 2,621,335.21

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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.