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Finding the Third Proportional to 914,976 and 1,987,461

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Solution

The third proportional to 914,976 and 1,987,461 is: 4,317,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,976 : 1,987,461 = 1,987,461 : x
  2. Step 2: Convert to fraction form
    914,976/1,987,461 = 1,987,461/x
  3. Step 3: Cross multiply
    914,976x = 1,987,461 × 1,987,461
  4. Step 4: Simplify right side
    914,976x = 3,950,001,226,521
  5. Step 5: Solve for x
    x = 3,950,001,226,521/914,976
  6. Step 6: Final answer
    x = 4,317,054.47

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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.