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Finding the Third Proportional to 2,123,400.38 and 4,584,678.75

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Solution

The third proportional to 2,123,400.38 and 4,584,678.75 is: 9,898,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,400.38 : 4,584,678.75 = 4,584,678.75 : x
  2. Step 2: Convert to fraction form
    2,123,400.38/4,584,678.75 = 4,584,678.75/x
  3. Step 3: Cross multiply
    2,123,400.38x = 4,584,678.75 × 4,584,678.75
  4. Step 4: Simplify right side
    2,123,400.38x = 21,019,279,240,701.56
  5. Step 5: Solve for x
    x = 21,019,279,240,701.56/2,123,400.38
  6. Step 6: Final answer
    x = 9,898,877.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.