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Finding the Third Proportional to 469,253,273 and 689,514,375

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Solution

The third proportional to 469,253,273 and 689,514,375 is: 1,013,163,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,253,273 : 689,514,375 = 689,514,375 : x
  2. Step 2: Convert to fraction form
    469,253,273/689,514,375 = 689,514,375/x
  3. Step 3: Cross multiply
    469,253,273x = 689,514,375 × 689,514,375
  4. Step 4: Simplify right side
    469,253,273x = 475,430,073,331,640,640
  5. Step 5: Solve for x
    x = 475,430,073,331,640,640/469,253,273
  6. Step 6: Final answer
    x = 1,013,163,041.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.