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Finding the Third Proportional to 574,712 and 1,248,903

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Solution

The third proportional to 574,712 and 1,248,903 is: 2,713,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,712 : 1,248,903 = 1,248,903 : x
  2. Step 2: Convert to fraction form
    574,712/1,248,903 = 1,248,903/x
  3. Step 3: Cross multiply
    574,712x = 1,248,903 × 1,248,903
  4. Step 4: Simplify right side
    574,712x = 1,559,758,703,409
  5. Step 5: Solve for x
    x = 1,559,758,703,409/574,712
  6. Step 6: Final answer
    x = 2,713,983.18

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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.