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Finding the Third Proportional to 461,126,269.50 and 1,004,127,486

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Solution

The third proportional to 461,126,269.50 and 1,004,127,486 is: 2,186,542,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,126,269.50 : 1,004,127,486 = 1,004,127,486 : x
  2. Step 2: Convert to fraction form
    461,126,269.50/1,004,127,486 = 1,004,127,486/x
  3. Step 3: Cross multiply
    461,126,269.50x = 1,004,127,486 × 1,004,127,486
  4. Step 4: Simplify right side
    461,126,269.50x = 1,008,272,008,140,680,192
  5. Step 5: Solve for x
    x = 1,008,272,008,140,680,192/461,126,269.50
  6. Step 6: Final answer
    x = 2,186,542,114.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.