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Finding the Third Proportional to 560,410 and 1,199,552

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Solution

The third proportional to 560,410 and 1,199,552 is: 2,567,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,410 : 1,199,552 = 1,199,552 : x
  2. Step 2: Convert to fraction form
    560,410/1,199,552 = 1,199,552/x
  3. Step 3: Cross multiply
    560,410x = 1,199,552 × 1,199,552
  4. Step 4: Simplify right side
    560,410x = 1,438,925,000,704
  5. Step 5: Solve for x
    x = 1,438,925,000,704/560,410
  6. Step 6: Final answer
    x = 2,567,629.06

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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.