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Finding the Third Proportional to 1,942,582 and 4,121,864

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Solution

The third proportional to 1,942,582 and 4,121,864 is: 8,745,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,582 : 4,121,864 = 4,121,864 : x
  2. Step 2: Convert to fraction form
    1,942,582/4,121,864 = 4,121,864/x
  3. Step 3: Cross multiply
    1,942,582x = 4,121,864 × 4,121,864
  4. Step 4: Simplify right side
    1,942,582x = 16,989,762,834,496
  5. Step 5: Solve for x
    x = 16,989,762,834,496/1,942,582
  6. Step 6: Final answer
    x = 8,745,969.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.