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Finding the Third Proportional to 572,202 and 1,242,720

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Solution

The third proportional to 572,202 and 1,242,720 is: 2,698,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,202 : 1,242,720 = 1,242,720 : x
  2. Step 2: Convert to fraction form
    572,202/1,242,720 = 1,242,720/x
  3. Step 3: Cross multiply
    572,202x = 1,242,720 × 1,242,720
  4. Step 4: Simplify right side
    572,202x = 1,544,352,998,400
  5. Step 5: Solve for x
    x = 1,544,352,998,400/572,202
  6. Step 6: Final answer
    x = 2,698,964.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.