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Finding the Third Proportional to 584,850 and 883,647

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Solution

The third proportional to 584,850 and 883,647 is: 1,335,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,850 : 883,647 = 883,647 : x
  2. Step 2: Convert to fraction form
    584,850/883,647 = 883,647/x
  3. Step 3: Cross multiply
    584,850x = 883,647 × 883,647
  4. Step 4: Simplify right side
    584,850x = 780,832,020,609
  5. Step 5: Solve for x
    x = 780,832,020,609/584,850
  6. Step 6: Final answer
    x = 1,335,097.92

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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.