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Finding the Third Proportional to 491,032 and 1,059,527

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Solution

The third proportional to 491,032 and 1,059,527 is: 2,286,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,032 : 1,059,527 = 1,059,527 : x
  2. Step 2: Convert to fraction form
    491,032/1,059,527 = 1,059,527/x
  3. Step 3: Cross multiply
    491,032x = 1,059,527 × 1,059,527
  4. Step 4: Simplify right side
    491,032x = 1,122,597,463,729
  5. Step 5: Solve for x
    x = 1,122,597,463,729/491,032
  6. Step 6: Final answer
    x = 2,286,200.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.