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Finding the Third Proportional to 560,408 and 1,199,548

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Solution

The third proportional to 560,408 and 1,199,548 is: 2,567,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,408 : 1,199,548 = 1,199,548 : x
  2. Step 2: Convert to fraction form
    560,408/1,199,548 = 1,199,548/x
  3. Step 3: Cross multiply
    560,408x = 1,199,548 × 1,199,548
  4. Step 4: Simplify right side
    560,408x = 1,438,915,404,304
  5. Step 5: Solve for x
    x = 1,438,915,404,304/560,408
  6. Step 6: Final answer
    x = 2,567,621.10

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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.