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Finding the Third Proportional to 466,384.13 and 988,816.13

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Solution

The third proportional to 466,384.13 and 988,816.13 is: 2,096,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,384.13 : 988,816.13 = 988,816.13 : x
  2. Step 2: Convert to fraction form
    466,384.13/988,816.13 = 988,816.13/x
  3. Step 3: Cross multiply
    466,384.13x = 988,816.13 × 988,816.13
  4. Step 4: Simplify right side
    466,384.13x = 977,757,329,060.02
  5. Step 5: Solve for x
    x = 977,757,329,060.02/466,384.13
  6. Step 6: Final answer
    x = 2,096,463.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.