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Finding the Third Proportional to 972,315 and 1,471,886

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Solution

The third proportional to 972,315 and 1,471,886 is: 2,228,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,315 : 1,471,886 = 1,471,886 : x
  2. Step 2: Convert to fraction form
    972,315/1,471,886 = 1,471,886/x
  3. Step 3: Cross multiply
    972,315x = 1,471,886 × 1,471,886
  4. Step 4: Simplify right side
    972,315x = 2,166,448,396,996
  5. Step 5: Solve for x
    x = 2,166,448,396,996/972,315
  6. Step 6: Final answer
    x = 2,228,134.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.