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Finding the Third Proportional to 562,449 and 1,237,461

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Solution

The third proportional to 562,449 and 1,237,461 is: 2,722,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,449 : 1,237,461 = 1,237,461 : x
  2. Step 2: Convert to fraction form
    562,449/1,237,461 = 1,237,461/x
  3. Step 3: Cross multiply
    562,449x = 1,237,461 × 1,237,461
  4. Step 4: Simplify right side
    562,449x = 1,531,309,726,521
  5. Step 5: Solve for x
    x = 1,531,309,726,521/562,449
  6. Step 6: Final answer
    x = 2,722,575.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.