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Finding the Third Proportional to 652,470.75 and 1,432,599.75

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Solution

The third proportional to 652,470.75 and 1,432,599.75 is: 3,145,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,470.75 : 1,432,599.75 = 1,432,599.75 : x
  2. Step 2: Convert to fraction form
    652,470.75/1,432,599.75 = 1,432,599.75/x
  3. Step 3: Cross multiply
    652,470.75x = 1,432,599.75 × 1,432,599.75
  4. Step 4: Simplify right side
    652,470.75x = 2,052,342,043,700.06
  5. Step 5: Solve for x
    x = 2,052,342,043,700.06/652,470.75
  6. Step 6: Final answer
    x = 3,145,492.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.