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Finding the Third Proportional to 946,498 and 2,053,538

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Solution

The third proportional to 946,498 and 2,053,538 is: 4,455,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,498 : 2,053,538 = 2,053,538 : x
  2. Step 2: Convert to fraction form
    946,498/2,053,538 = 2,053,538/x
  3. Step 3: Cross multiply
    946,498x = 2,053,538 × 2,053,538
  4. Step 4: Simplify right side
    946,498x = 4,217,018,317,444
  5. Step 5: Solve for x
    x = 4,217,018,317,444/946,498
  6. Step 6: Final answer
    x = 4,455,390.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.