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Finding the Third Proportional to 403,734 and 876,154

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Solution

The third proportional to 403,734 and 876,154 is: 1,901,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,734 : 876,154 = 876,154 : x
  2. Step 2: Convert to fraction form
    403,734/876,154 = 876,154/x
  3. Step 3: Cross multiply
    403,734x = 876,154 × 876,154
  4. Step 4: Simplify right side
    403,734x = 767,645,831,716
  5. Step 5: Solve for x
    x = 767,645,831,716/403,734
  6. Step 6: Final answer
    x = 1,901,365.33

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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.