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Finding the Third Proportional to 972,804 and 1,462,320

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Solution

The third proportional to 972,804 and 1,462,320 is: 2,198,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,804 : 1,462,320 = 1,462,320 : x
  2. Step 2: Convert to fraction form
    972,804/1,462,320 = 1,462,320/x
  3. Step 3: Cross multiply
    972,804x = 1,462,320 × 1,462,320
  4. Step 4: Simplify right side
    972,804x = 2,138,379,782,400
  5. Step 5: Solve for x
    x = 2,138,379,782,400/972,804
  6. Step 6: Final answer
    x = 2,198,160.97

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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.