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Finding the Third Proportional to 670,298 and 1,436,548

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Solution

The third proportional to 670,298 and 1,436,548 is: 3,078,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,298 : 1,436,548 = 1,436,548 : x
  2. Step 2: Convert to fraction form
    670,298/1,436,548 = 1,436,548/x
  3. Step 3: Cross multiply
    670,298x = 1,436,548 × 1,436,548
  4. Step 4: Simplify right side
    670,298x = 2,063,670,156,304
  5. Step 5: Solve for x
    x = 2,063,670,156,304/670,298
  6. Step 6: Final answer
    x = 3,078,735.36

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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.