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Finding the Third Proportional to 1,037,916 and 2,246,420

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Solution

The third proportional to 1,037,916 and 2,246,420 is: 4,862,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,916 : 2,246,420 = 2,246,420 : x
  2. Step 2: Convert to fraction form
    1,037,916/2,246,420 = 2,246,420/x
  3. Step 3: Cross multiply
    1,037,916x = 2,246,420 × 2,246,420
  4. Step 4: Simplify right side
    1,037,916x = 5,046,402,816,400
  5. Step 5: Solve for x
    x = 5,046,402,816,400/1,037,916
  6. Step 6: Final answer
    x = 4,862,053.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.