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Finding the Third Proportional to 972,650 and 1,455,087

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Solution

The third proportional to 972,650 and 1,455,087 is: 2,176,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,650 : 1,455,087 = 1,455,087 : x
  2. Step 2: Convert to fraction form
    972,650/1,455,087 = 1,455,087/x
  3. Step 3: Cross multiply
    972,650x = 1,455,087 × 1,455,087
  4. Step 4: Simplify right side
    972,650x = 2,117,278,177,569
  5. Step 5: Solve for x
    x = 2,117,278,177,569/972,650
  6. Step 6: Final answer
    x = 2,176,814.04

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Why These Related Problems?

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