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Finding the Third Proportional to 972,012 and 1,471,409

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Solution

The third proportional to 972,012 and 1,471,409 is: 2,227,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,012 : 1,471,409 = 1,471,409 : x
  2. Step 2: Convert to fraction form
    972,012/1,471,409 = 1,471,409/x
  3. Step 3: Cross multiply
    972,012x = 1,471,409 × 1,471,409
  4. Step 4: Simplify right side
    972,012x = 2,165,044,445,281
  5. Step 5: Solve for x
    x = 2,165,044,445,281/972,012
  6. Step 6: Final answer
    x = 2,227,384.48

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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.