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Finding the Third Proportional to 597,853,982.25 and 841,543,281.56

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Solution

The third proportional to 597,853,982.25 and 841,543,281.56 is: 1,184,561,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,853,982.25 : 841,543,281.56 = 841,543,281.56 : x
  2. Step 2: Convert to fraction form
    597,853,982.25/841,543,281.56 = 841,543,281.56/x
  3. Step 3: Cross multiply
    597,853,982.25x = 841,543,281.56 × 841,543,281.56
  4. Step 4: Simplify right side
    597,853,982.25x = 708,195,094,742,981,120
  5. Step 5: Solve for x
    x = 708,195,094,742,981,120/597,853,982.25
  6. Step 6: Final answer
    x = 1,184,561,976.28

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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.