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Finding the Third Proportional to 542,142 and 1,159,020

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Solution

The third proportional to 542,142 and 1,159,020 is: 2,477,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,142 : 1,159,020 = 1,159,020 : x
  2. Step 2: Convert to fraction form
    542,142/1,159,020 = 1,159,020/x
  3. Step 3: Cross multiply
    542,142x = 1,159,020 × 1,159,020
  4. Step 4: Simplify right side
    542,142x = 1,343,327,360,400
  5. Step 5: Solve for x
    x = 1,343,327,360,400/542,142
  6. Step 6: Final answer
    x = 2,477,814.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.