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Finding the Third Proportional to 403,778 and 874,434

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Solution

The third proportional to 403,778 and 874,434 is: 1,893,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,778 : 874,434 = 874,434 : x
  2. Step 2: Convert to fraction form
    403,778/874,434 = 874,434/x
  3. Step 3: Cross multiply
    403,778x = 874,434 × 874,434
  4. Step 4: Simplify right side
    403,778x = 764,634,820,356
  5. Step 5: Solve for x
    x = 764,634,820,356/403,778
  6. Step 6: Final answer
    x = 1,893,701.04

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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.