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Finding the Third Proportional to 462,696 and 1,071,037.50

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Solution

The third proportional to 462,696 and 1,071,037.50 is: 2,479,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,696 : 1,071,037.50 = 1,071,037.50 : x
  2. Step 2: Convert to fraction form
    462,696/1,071,037.50 = 1,071,037.50/x
  3. Step 3: Cross multiply
    462,696x = 1,071,037.50 × 1,071,037.50
  4. Step 4: Simplify right side
    462,696x = 1,147,121,326,406.25
  5. Step 5: Solve for x
    x = 1,147,121,326,406.25/462,696
  6. Step 6: Final answer
    x = 2,479,211.68

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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.