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Finding the Third Proportional to 506,428.88 and 1,096,934.06

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Solution

The third proportional to 506,428.88 and 1,096,934.06 is: 2,375,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,428.88 : 1,096,934.06 = 1,096,934.06 : x
  2. Step 2: Convert to fraction form
    506,428.88/1,096,934.06 = 1,096,934.06/x
  3. Step 3: Cross multiply
    506,428.88x = 1,096,934.06 × 1,096,934.06
  4. Step 4: Simplify right side
    506,428.88x = 1,203,264,337,472.75
  5. Step 5: Solve for x
    x = 1,203,264,337,472.75/506,428.88
  6. Step 6: Final answer
    x = 2,375,978.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.