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Finding the Third Proportional to 491,261 and 1,065,466

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Solution

The third proportional to 491,261 and 1,065,466 is: 2,310,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,261 : 1,065,466 = 1,065,466 : x
  2. Step 2: Convert to fraction form
    491,261/1,065,466 = 1,065,466/x
  3. Step 3: Cross multiply
    491,261x = 1,065,466 × 1,065,466
  4. Step 4: Simplify right side
    491,261x = 1,135,217,797,156
  5. Step 5: Solve for x
    x = 1,135,217,797,156/491,261
  6. Step 6: Final answer
    x = 2,310,824.18

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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.