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Finding the Third Proportional to 407,184 and 886,656

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Solution

The third proportional to 407,184 and 886,656 is: 1,930,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,184 : 886,656 = 886,656 : x
  2. Step 2: Convert to fraction form
    407,184/886,656 = 886,656/x
  3. Step 3: Cross multiply
    407,184x = 886,656 × 886,656
  4. Step 4: Simplify right side
    407,184x = 786,158,862,336
  5. Step 5: Solve for x
    x = 786,158,862,336/407,184
  6. Step 6: Final answer
    x = 1,930,721.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.