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Finding the Third Proportional to 449,660.81 and 963,423.56

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Solution

The third proportional to 449,660.81 and 963,423.56 is: 2,064,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,660.81 : 963,423.56 = 963,423.56 : x
  2. Step 2: Convert to fraction form
    449,660.81/963,423.56 = 963,423.56/x
  3. Step 3: Cross multiply
    449,660.81x = 963,423.56 × 963,423.56
  4. Step 4: Simplify right side
    449,660.81x = 928,184,960,780.19
  5. Step 5: Solve for x
    x = 928,184,960,780.19/449,660.81
  6. Step 6: Final answer
    x = 2,064,189.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.