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Finding the Third Proportional to 542,034 and 1,127,078

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Solution

The third proportional to 542,034 and 1,127,078 is: 2,343,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,034 : 1,127,078 = 1,127,078 : x
  2. Step 2: Convert to fraction form
    542,034/1,127,078 = 1,127,078/x
  3. Step 3: Cross multiply
    542,034x = 1,127,078 × 1,127,078
  4. Step 4: Simplify right side
    542,034x = 1,270,304,818,084
  5. Step 5: Solve for x
    x = 1,270,304,818,084/542,034
  6. Step 6: Final answer
    x = 2,343,588.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.