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Finding the Third Proportional to 1,865,127 and 2,965,831

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Solution

The third proportional to 1,865,127 and 2,965,831 is: 4,716,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,127 : 2,965,831 = 2,965,831 : x
  2. Step 2: Convert to fraction form
    1,865,127/2,965,831 = 2,965,831/x
  3. Step 3: Cross multiply
    1,865,127x = 2,965,831 × 2,965,831
  4. Step 4: Simplify right side
    1,865,127x = 8,796,153,520,561
  5. Step 5: Solve for x
    x = 8,796,153,520,561/1,865,127
  6. Step 6: Final answer
    x = 4,716,115.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.