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Finding the Third Proportional to 584,786 and 1,281,253

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Solution

The third proportional to 584,786 and 1,281,253 is: 2,807,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,786 : 1,281,253 = 1,281,253 : x
  2. Step 2: Convert to fraction form
    584,786/1,281,253 = 1,281,253/x
  3. Step 3: Cross multiply
    584,786x = 1,281,253 × 1,281,253
  4. Step 4: Simplify right side
    584,786x = 1,641,609,250,009
  5. Step 5: Solve for x
    x = 1,641,609,250,009/584,786
  6. Step 6: Final answer
    x = 2,807,196.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.