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Finding the Third Proportional to 972,981.49 and 2,129,232.45

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Solution

The third proportional to 972,981.49 and 2,129,232.45 is: 4,659,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,981.49 : 2,129,232.45 = 2,129,232.45 : x
  2. Step 2: Convert to fraction form
    972,981.49/2,129,232.45 = 2,129,232.45/x
  3. Step 3: Cross multiply
    972,981.49x = 2,129,232.45 × 2,129,232.45
  4. Step 4: Simplify right side
    972,981.49x = 4,533,630,806,171.45
  5. Step 5: Solve for x
    x = 4,533,630,806,171.45/972,981.49
  6. Step 6: Final answer
    x = 4,659,524.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.