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Finding the Third Proportional to 1,151,948 and 1,621,488

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Solution

The third proportional to 1,151,948 and 1,621,488 is: 2,282,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,948 : 1,621,488 = 1,621,488 : x
  2. Step 2: Convert to fraction form
    1,151,948/1,621,488 = 1,621,488/x
  3. Step 3: Cross multiply
    1,151,948x = 1,621,488 × 1,621,488
  4. Step 4: Simplify right side
    1,151,948x = 2,629,223,334,144
  5. Step 5: Solve for x
    x = 2,629,223,334,144/1,151,948
  6. Step 6: Final answer
    x = 2,282,414.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.