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Finding the Third Proportional to 597,853,986 and 841,543,287

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Solution

The third proportional to 597,853,986 and 841,543,287 is: 1,184,561,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,853,986 : 841,543,287 = 841,543,287 : x
  2. Step 2: Convert to fraction form
    597,853,986/841,543,287 = 841,543,287/x
  3. Step 3: Cross multiply
    597,853,986x = 841,543,287 × 841,543,287
  4. Step 4: Simplify right side
    597,853,986x = 708,195,103,894,764,416
  5. Step 5: Solve for x
    x = 708,195,103,894,764,416/597,853,986
  6. Step 6: Final answer
    x = 1,184,561,984.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.