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Finding the Third Proportional to 935,538 and 1,411,727

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Solution

The third proportional to 935,538 and 1,411,727 is: 2,130,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,538 : 1,411,727 = 1,411,727 : x
  2. Step 2: Convert to fraction form
    935,538/1,411,727 = 1,411,727/x
  3. Step 3: Cross multiply
    935,538x = 1,411,727 × 1,411,727
  4. Step 4: Simplify right side
    935,538x = 1,992,973,122,529
  5. Step 5: Solve for x
    x = 1,992,973,122,529/935,538
  6. Step 6: Final answer
    x = 2,130,296.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.