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Finding the Third Proportional to 887,407,640 and 1,384,833,478

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Solution

The third proportional to 887,407,640 and 1,384,833,478 is: 2,161,085,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    887,407,640 : 1,384,833,478 = 1,384,833,478 : x
  2. Step 2: Convert to fraction form
    887,407,640/1,384,833,478 = 1,384,833,478/x
  3. Step 3: Cross multiply
    887,407,640x = 1,384,833,478 × 1,384,833,478
  4. Step 4: Simplify right side
    887,407,640x = 1,917,763,761,789,576,448
  5. Step 5: Solve for x
    x = 1,917,763,761,789,576,448/887,407,640
  6. Step 6: Final answer
    x = 2,161,085,475.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.