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Finding the Third Proportional to 496,532 and 1,079,464

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Solution

The third proportional to 496,532 and 1,079,464 is: 2,346,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,532 : 1,079,464 = 1,079,464 : x
  2. Step 2: Convert to fraction form
    496,532/1,079,464 = 1,079,464/x
  3. Step 3: Cross multiply
    496,532x = 1,079,464 × 1,079,464
  4. Step 4: Simplify right side
    496,532x = 1,165,242,527,296
  5. Step 5: Solve for x
    x = 1,165,242,527,296/496,532
  6. Step 6: Final answer
    x = 2,346,762.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.