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Finding the Third Proportional to 527,012 and 1,243,637

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Solution

The third proportional to 527,012 and 1,243,637 is: 2,934,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,012 : 1,243,637 = 1,243,637 : x
  2. Step 2: Convert to fraction form
    527,012/1,243,637 = 1,243,637/x
  3. Step 3: Cross multiply
    527,012x = 1,243,637 × 1,243,637
  4. Step 4: Simplify right side
    527,012x = 1,546,632,987,769
  5. Step 5: Solve for x
    x = 1,546,632,987,769/527,012
  6. Step 6: Final answer
    x = 2,934,720.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.