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Finding the Third Proportional to 523,674 and 1,127,538

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Solution

The third proportional to 523,674 and 1,127,538 is: 2,427,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,674 : 1,127,538 = 1,127,538 : x
  2. Step 2: Convert to fraction form
    523,674/1,127,538 = 1,127,538/x
  3. Step 3: Cross multiply
    523,674x = 1,127,538 × 1,127,538
  4. Step 4: Simplify right side
    523,674x = 1,271,341,941,444
  5. Step 5: Solve for x
    x = 1,271,341,941,444/523,674
  6. Step 6: Final answer
    x = 2,427,735.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.