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Finding the Third Proportional to 572,080 and 1,242,572

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Solution

The third proportional to 572,080 and 1,242,572 is: 2,698,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,080 : 1,242,572 = 1,242,572 : x
  2. Step 2: Convert to fraction form
    572,080/1,242,572 = 1,242,572/x
  3. Step 3: Cross multiply
    572,080x = 1,242,572 × 1,242,572
  4. Step 4: Simplify right side
    572,080x = 1,543,985,175,184
  5. Step 5: Solve for x
    x = 1,543,985,175,184/572,080
  6. Step 6: Final answer
    x = 2,698,897.31

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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.