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Finding the Third Proportional to 562,445 and 1,237,448

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Solution

The third proportional to 562,445 and 1,237,448 is: 2,722,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,445 : 1,237,448 = 1,237,448 : x
  2. Step 2: Convert to fraction form
    562,445/1,237,448 = 1,237,448/x
  3. Step 3: Cross multiply
    562,445x = 1,237,448 × 1,237,448
  4. Step 4: Simplify right side
    562,445x = 1,531,277,552,704
  5. Step 5: Solve for x
    x = 1,531,277,552,704/562,445
  6. Step 6: Final answer
    x = 2,722,537.41

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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.