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Finding the Third Proportional to 972,127.50 and 1,519,609.50

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Solution

The third proportional to 972,127.50 and 1,519,609.50 is: 2,375,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,127.50 : 1,519,609.50 = 1,519,609.50 : x
  2. Step 2: Convert to fraction form
    972,127.50/1,519,609.50 = 1,519,609.50/x
  3. Step 3: Cross multiply
    972,127.50x = 1,519,609.50 × 1,519,609.50
  4. Step 4: Simplify right side
    972,127.50x = 2,309,213,032,490.25
  5. Step 5: Solve for x
    x = 2,309,213,032,490.25/972,127.50
  6. Step 6: Final answer
    x = 2,375,421.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.