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Finding the Third Proportional to 972,487.50 and 1,427,200.50

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Solution

The third proportional to 972,487.50 and 1,427,200.50 is: 2,094,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,487.50 : 1,427,200.50 = 1,427,200.50 : x
  2. Step 2: Convert to fraction form
    972,487.50/1,427,200.50 = 1,427,200.50/x
  3. Step 3: Cross multiply
    972,487.50x = 1,427,200.50 × 1,427,200.50
  4. Step 4: Simplify right side
    972,487.50x = 2,036,901,267,200.25
  5. Step 5: Solve for x
    x = 2,036,901,267,200.25/972,487.50
  6. Step 6: Final answer
    x = 2,094,526.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.