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Finding the Third Proportional to 761,425,293 and 1,027,341,498

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Solution

The third proportional to 761,425,293 and 1,027,341,498 is: 1,386,124,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,425,293 : 1,027,341,498 = 1,027,341,498 : x
  2. Step 2: Convert to fraction form
    761,425,293/1,027,341,498 = 1,027,341,498/x
  3. Step 3: Cross multiply
    761,425,293x = 1,027,341,498 × 1,027,341,498
  4. Step 4: Simplify right side
    761,425,293x = 1,055,430,553,512,883,968
  5. Step 5: Solve for x
    x = 1,055,430,553,512,883,968/761,425,293
  6. Step 6: Final answer
    x = 1,386,124,893.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.