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Finding the Third Proportional to 458,695 and 1,036,314

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Solution

The third proportional to 458,695 and 1,036,314 is: 2,341,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,695 : 1,036,314 = 1,036,314 : x
  2. Step 2: Convert to fraction form
    458,695/1,036,314 = 1,036,314/x
  3. Step 3: Cross multiply
    458,695x = 1,036,314 × 1,036,314
  4. Step 4: Simplify right side
    458,695x = 1,073,946,706,596
  5. Step 5: Solve for x
    x = 1,073,946,706,596/458,695
  6. Step 6: Final answer
    x = 2,341,308.95

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.