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Finding the Third Proportional to 1,894,324 and 4,057,352

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Solution

The third proportional to 1,894,324 and 4,057,352 is: 8,690,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,324 : 4,057,352 = 4,057,352 : x
  2. Step 2: Convert to fraction form
    1,894,324/4,057,352 = 4,057,352/x
  3. Step 3: Cross multiply
    1,894,324x = 4,057,352 × 4,057,352
  4. Step 4: Simplify right side
    1,894,324x = 16,462,105,251,904
  5. Step 5: Solve for x
    x = 16,462,105,251,904/1,894,324
  6. Step 6: Final answer
    x = 8,690,226.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.