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Finding the Third Proportional to 1,894,322 and 4,057,348

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Solution

The third proportional to 1,894,322 and 4,057,348 is: 8,690,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,322 : 4,057,348 = 4,057,348 : x
  2. Step 2: Convert to fraction form
    1,894,322/4,057,348 = 4,057,348/x
  3. Step 3: Cross multiply
    1,894,322x = 4,057,348 × 4,057,348
  4. Step 4: Simplify right side
    1,894,322x = 16,462,072,793,104
  5. Step 5: Solve for x
    x = 16,462,072,793,104/1,894,322
  6. Step 6: Final answer
    x = 8,690,218.87

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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.