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Finding the Third Proportional to 1,017,228.38 and 1,385,289.84

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Solution

The third proportional to 1,017,228.38 and 1,385,289.84 is: 1,886,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,228.38 : 1,385,289.84 = 1,385,289.84 : x
  2. Step 2: Convert to fraction form
    1,017,228.38/1,385,289.84 = 1,385,289.84/x
  3. Step 3: Cross multiply
    1,017,228.38x = 1,385,289.84 × 1,385,289.84
  4. Step 4: Simplify right side
    1,017,228.38x = 1,919,027,951,196.90
  5. Step 5: Solve for x
    x = 1,919,027,951,196.90/1,017,228.38
  6. Step 6: Final answer
    x = 1,886,526.17

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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.