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Finding the Third Proportional to 965,658 and 2,092,587

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Solution

The third proportional to 965,658 and 2,092,587 is: 4,534,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,658 : 2,092,587 = 2,092,587 : x
  2. Step 2: Convert to fraction form
    965,658/2,092,587 = 2,092,587/x
  3. Step 3: Cross multiply
    965,658x = 2,092,587 × 2,092,587
  4. Step 4: Simplify right side
    965,658x = 4,378,920,352,569
  5. Step 5: Solve for x
    x = 4,378,920,352,569/965,658
  6. Step 6: Final answer
    x = 4,534,649.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.