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Finding the Third Proportional to 454,125 and 1,070,498

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Solution

The third proportional to 454,125 and 1,070,498 is: 2,523,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,125 : 1,070,498 = 1,070,498 : x
  2. Step 2: Convert to fraction form
    454,125/1,070,498 = 1,070,498/x
  3. Step 3: Cross multiply
    454,125x = 1,070,498 × 1,070,498
  4. Step 4: Simplify right side
    454,125x = 1,145,965,968,004
  5. Step 5: Solve for x
    x = 1,145,965,968,004/454,125
  6. Step 6: Final answer
    x = 2,523,459.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.