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Finding the Third Proportional to 584,856 and 883,656

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Solution

The third proportional to 584,856 and 883,656 is: 1,335,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,856 : 883,656 = 883,656 : x
  2. Step 2: Convert to fraction form
    584,856/883,656 = 883,656/x
  3. Step 3: Cross multiply
    584,856x = 883,656 × 883,656
  4. Step 4: Simplify right side
    584,856x = 780,847,926,336
  5. Step 5: Solve for x
    x = 780,847,926,336/584,856
  6. Step 6: Final answer
    x = 1,335,111.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.