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Finding the Third Proportional to 734,017.50 and 1,488,784.50

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Solution

The third proportional to 734,017.50 and 1,488,784.50 is: 3,019,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,017.50 : 1,488,784.50 = 1,488,784.50 : x
  2. Step 2: Convert to fraction form
    734,017.50/1,488,784.50 = 1,488,784.50/x
  3. Step 3: Cross multiply
    734,017.50x = 1,488,784.50 × 1,488,784.50
  4. Step 4: Simplify right side
    734,017.50x = 2,216,479,287,440.25
  5. Step 5: Solve for x
    x = 2,216,479,287,440.25/734,017.50
  6. Step 6: Final answer
    x = 3,019,654.56

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.