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Finding the Third Proportional to 946,466 and 1,376,498

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Solution

The third proportional to 946,466 and 1,376,498 is: 2,001,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,466 : 1,376,498 = 1,376,498 : x
  2. Step 2: Convert to fraction form
    946,466/1,376,498 = 1,376,498/x
  3. Step 3: Cross multiply
    946,466x = 1,376,498 × 1,376,498
  4. Step 4: Simplify right side
    946,466x = 1,894,746,744,004
  5. Step 5: Solve for x
    x = 1,894,746,744,004/946,466
  6. Step 6: Final answer
    x = 2,001,917.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.