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Finding the Third Proportional to 1,553,460 and 2,098,824

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Solution

The third proportional to 1,553,460 and 2,098,824 is: 2,835,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553,460 : 2,098,824 = 2,098,824 : x
  2. Step 2: Convert to fraction form
    1,553,460/2,098,824 = 2,098,824/x
  3. Step 3: Cross multiply
    1,553,460x = 2,098,824 × 2,098,824
  4. Step 4: Simplify right side
    1,553,460x = 4,405,062,182,976
  5. Step 5: Solve for x
    x = 4,405,062,182,976/1,553,460
  6. Step 6: Final answer
    x = 2,835,645.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.