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Finding the Third Proportional to 972,712 and 1,455,180

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Solution

The third proportional to 972,712 and 1,455,180 is: 2,176,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,712 : 1,455,180 = 1,455,180 : x
  2. Step 2: Convert to fraction form
    972,712/1,455,180 = 1,455,180/x
  3. Step 3: Cross multiply
    972,712x = 1,455,180 × 1,455,180
  4. Step 4: Simplify right side
    972,712x = 2,117,548,832,400
  5. Step 5: Solve for x
    x = 2,117,548,832,400/972,712
  6. Step 6: Final answer
    x = 2,176,953.54

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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.