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Finding the Third Proportional to 943,854 and 2,037,972

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Solution

The third proportional to 943,854 and 2,037,972 is: 4,400,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,854 : 2,037,972 = 2,037,972 : x
  2. Step 2: Convert to fraction form
    943,854/2,037,972 = 2,037,972/x
  3. Step 3: Cross multiply
    943,854x = 2,037,972 × 2,037,972
  4. Step 4: Simplify right side
    943,854x = 4,153,329,872,784
  5. Step 5: Solve for x
    x = 4,153,329,872,784/943,854
  6. Step 6: Final answer
    x = 4,400,394.42

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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.