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Finding the Third Proportional to 1,015,466 and 2,162,516

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Solution

The third proportional to 1,015,466 and 2,162,516 is: 4,605,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,466 : 2,162,516 = 2,162,516 : x
  2. Step 2: Convert to fraction form
    1,015,466/2,162,516 = 2,162,516/x
  3. Step 3: Cross multiply
    1,015,466x = 2,162,516 × 2,162,516
  4. Step 4: Simplify right side
    1,015,466x = 4,676,475,450,256
  5. Step 5: Solve for x
    x = 4,676,475,450,256/1,015,466
  6. Step 6: Final answer
    x = 4,605,250.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.