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Finding the Third Proportional to 1,205,310.38 and 1,636,954.31

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Solution

The third proportional to 1,205,310.38 and 1,636,954.31 is: 2,223,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,310.38 : 1,636,954.31 = 1,636,954.31 : x
  2. Step 2: Convert to fraction form
    1,205,310.38/1,636,954.31 = 1,636,954.31/x
  3. Step 3: Cross multiply
    1,205,310.38x = 1,636,954.31 × 1,636,954.31
  4. Step 4: Simplify right side
    1,205,310.38x = 2,679,619,421,212.35
  5. Step 5: Solve for x
    x = 2,679,619,421,212.35/1,205,310.38
  6. Step 6: Final answer
    x = 2,223,177.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.