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Finding the Third Proportional to 1,391,011.50 and 2,931,471

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Solution

The third proportional to 1,391,011.50 and 2,931,471 is: 6,177,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,011.50 : 2,931,471 = 2,931,471 : x
  2. Step 2: Convert to fraction form
    1,391,011.50/2,931,471 = 2,931,471/x
  3. Step 3: Cross multiply
    1,391,011.50x = 2,931,471 × 2,931,471
  4. Step 4: Simplify right side
    1,391,011.50x = 8,593,522,223,841
  5. Step 5: Solve for x
    x = 8,593,522,223,841/1,391,011.50
  6. Step 6: Final answer
    x = 6,177,894.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.