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Finding the Third Proportional to 469,253,275 and 689,514,378

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Solution

The third proportional to 469,253,275 and 689,514,378 is: 1,013,163,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,253,275 : 689,514,378 = 689,514,378 : x
  2. Step 2: Convert to fraction form
    469,253,275/689,514,378 = 689,514,378/x
  3. Step 3: Cross multiply
    469,253,275x = 689,514,378 × 689,514,378
  4. Step 4: Simplify right side
    469,253,275x = 475,430,077,468,726,912
  5. Step 5: Solve for x
    x = 475,430,077,468,726,912/469,253,275
  6. Step 6: Final answer
    x = 1,013,163,046.05

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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.