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Finding the Third Proportional to 551,489,412 and 1,194,887,472

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Solution

The third proportional to 551,489,412 and 1,194,887,472 is: 2,588,909,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,489,412 : 1,194,887,472 = 1,194,887,472 : x
  2. Step 2: Convert to fraction form
    551,489,412/1,194,887,472 = 1,194,887,472/x
  3. Step 3: Cross multiply
    551,489,412x = 1,194,887,472 × 1,194,887,472
  4. Step 4: Simplify right side
    551,489,412x = 1,427,756,070,742,550,784
  5. Step 5: Solve for x
    x = 1,427,756,070,742,550,784/551,489,412
  6. Step 6: Final answer
    x = 2,588,909,305.74

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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.