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Finding the Third Proportional to 546,291 and 1,114,249.50

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Solution

The third proportional to 546,291 and 1,114,249.50 is: 2,272,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,291 : 1,114,249.50 = 1,114,249.50 : x
  2. Step 2: Convert to fraction form
    546,291/1,114,249.50 = 1,114,249.50/x
  3. Step 3: Cross multiply
    546,291x = 1,114,249.50 × 1,114,249.50
  4. Step 4: Simplify right side
    546,291x = 1,241,551,948,250.25
  5. Step 5: Solve for x
    x = 1,241,551,948,250.25/546,291
  6. Step 6: Final answer
    x = 2,272,693.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.