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Finding the Third Proportional to 2,073,952 and 3,199,368

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Solution

The third proportional to 2,073,952 and 3,199,368 is: 4,935,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,952 : 3,199,368 = 3,199,368 : x
  2. Step 2: Convert to fraction form
    2,073,952/3,199,368 = 3,199,368/x
  3. Step 3: Cross multiply
    2,073,952x = 3,199,368 × 3,199,368
  4. Step 4: Simplify right side
    2,073,952x = 10,235,955,599,424
  5. Step 5: Solve for x
    x = 10,235,955,599,424/2,073,952
  6. Step 6: Final answer
    x = 4,935,483.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.