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Finding the Third Proportional to 1,142,550 and 2,442,564

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Solution

The third proportional to 1,142,550 and 2,442,564 is: 5,221,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,550 : 2,442,564 = 2,442,564 : x
  2. Step 2: Convert to fraction form
    1,142,550/2,442,564 = 2,442,564/x
  3. Step 3: Cross multiply
    1,142,550x = 2,442,564 × 2,442,564
  4. Step 4: Simplify right side
    1,142,550x = 5,966,118,894,096
  5. Step 5: Solve for x
    x = 5,966,118,894,096/1,142,550
  6. Step 6: Final answer
    x = 5,221,757.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.