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Finding the Third Proportional to 491,534 and 1,035,532

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Solution

The third proportional to 491,534 and 1,035,532 is: 2,181,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,534 : 1,035,532 = 1,035,532 : x
  2. Step 2: Convert to fraction form
    491,534/1,035,532 = 1,035,532/x
  3. Step 3: Cross multiply
    491,534x = 1,035,532 × 1,035,532
  4. Step 4: Simplify right side
    491,534x = 1,072,326,523,024
  5. Step 5: Solve for x
    x = 1,072,326,523,024/491,534
  6. Step 6: Final answer
    x = 2,181,591.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.