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Finding the Third Proportional to 462,631.50 and 1,070,914.50

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Solution

The third proportional to 462,631.50 and 1,070,914.50 is: 2,478,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,631.50 : 1,070,914.50 = 1,070,914.50 : x
  2. Step 2: Convert to fraction form
    462,631.50/1,070,914.50 = 1,070,914.50/x
  3. Step 3: Cross multiply
    462,631.50x = 1,070,914.50 × 1,070,914.50
  4. Step 4: Simplify right side
    462,631.50x = 1,146,857,866,310.25
  5. Step 5: Solve for x
    x = 1,146,857,866,310.25/462,631.50
  6. Step 6: Final answer
    x = 2,478,987.85

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.