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Finding the Third Proportional to 840,466 and 1,943,701

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Solution

The third proportional to 840,466 and 1,943,701 is: 4,495,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,466 : 1,943,701 = 1,943,701 : x
  2. Step 2: Convert to fraction form
    840,466/1,943,701 = 1,943,701/x
  3. Step 3: Cross multiply
    840,466x = 1,943,701 × 1,943,701
  4. Step 4: Simplify right side
    840,466x = 3,777,973,577,401
  5. Step 5: Solve for x
    x = 3,777,973,577,401/840,466
  6. Step 6: Final answer
    x = 4,495,093.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.