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Finding the Third Proportional to 526,359 and 1,157,670

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Solution

The third proportional to 526,359 and 1,157,670 is: 2,546,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,359 : 1,157,670 = 1,157,670 : x
  2. Step 2: Convert to fraction form
    526,359/1,157,670 = 1,157,670/x
  3. Step 3: Cross multiply
    526,359x = 1,157,670 × 1,157,670
  4. Step 4: Simplify right side
    526,359x = 1,340,199,828,900
  5. Step 5: Solve for x
    x = 1,340,199,828,900/526,359
  6. Step 6: Final answer
    x = 2,546,170.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.