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Finding the Third Proportional to 631,971 and 1,352,515.50

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Solution

The third proportional to 631,971 and 1,352,515.50 is: 2,894,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,971 : 1,352,515.50 = 1,352,515.50 : x
  2. Step 2: Convert to fraction form
    631,971/1,352,515.50 = 1,352,515.50/x
  3. Step 3: Cross multiply
    631,971x = 1,352,515.50 × 1,352,515.50
  4. Step 4: Simplify right side
    631,971x = 1,829,298,177,740.25
  5. Step 5: Solve for x
    x = 1,829,298,177,740.25/631,971
  6. Step 6: Final answer
    x = 2,894,591.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.