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Finding the Third Proportional to 972,756 and 1,455,246

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Solution

The third proportional to 972,756 and 1,455,246 is: 2,177,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,756 : 1,455,246 = 1,455,246 : x
  2. Step 2: Convert to fraction form
    972,756/1,455,246 = 1,455,246/x
  3. Step 3: Cross multiply
    972,756x = 1,455,246 × 1,455,246
  4. Step 4: Simplify right side
    972,756x = 2,117,740,920,516
  5. Step 5: Solve for x
    x = 2,117,740,920,516/972,756
  6. Step 6: Final answer
    x = 2,177,052.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.