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Finding the Third Proportional to 1,965,126 and 2,983,140

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Solution

The third proportional to 1,965,126 and 2,983,140 is: 4,528,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,126 : 2,983,140 = 2,983,140 : x
  2. Step 2: Convert to fraction form
    1,965,126/2,983,140 = 2,983,140/x
  3. Step 3: Cross multiply
    1,965,126x = 2,983,140 × 2,983,140
  4. Step 4: Simplify right side
    1,965,126x = 8,899,124,259,600
  5. Step 5: Solve for x
    x = 8,899,124,259,600/1,965,126
  6. Step 6: Final answer
    x = 4,528,526.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.