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Finding the Third Proportional to 1,402,141.50 and 2,289,357

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Solution

The third proportional to 1,402,141.50 and 2,289,357 is: 3,737,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,141.50 : 2,289,357 = 2,289,357 : x
  2. Step 2: Convert to fraction form
    1,402,141.50/2,289,357 = 2,289,357/x
  3. Step 3: Cross multiply
    1,402,141.50x = 2,289,357 × 2,289,357
  4. Step 4: Simplify right side
    1,402,141.50x = 5,241,155,473,449
  5. Step 5: Solve for x
    x = 5,241,155,473,449/1,402,141.50
  6. Step 6: Final answer
    x = 3,737,964.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.