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Finding the Third Proportional to 652,137 and 1,390,941

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Solution

The third proportional to 652,137 and 1,390,941 is: 2,966,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,137 : 1,390,941 = 1,390,941 : x
  2. Step 2: Convert to fraction form
    652,137/1,390,941 = 1,390,941/x
  3. Step 3: Cross multiply
    652,137x = 1,390,941 × 1,390,941
  4. Step 4: Simplify right side
    652,137x = 1,934,716,865,481
  5. Step 5: Solve for x
    x = 1,934,716,865,481/652,137
  6. Step 6: Final answer
    x = 2,966,733.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.