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Finding the Third Proportional to 827,883 and 1,214,560

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Solution

The third proportional to 827,883 and 1,214,560 is: 1,781,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,883 : 1,214,560 = 1,214,560 : x
  2. Step 2: Convert to fraction form
    827,883/1,214,560 = 1,214,560/x
  3. Step 3: Cross multiply
    827,883x = 1,214,560 × 1,214,560
  4. Step 4: Simplify right side
    827,883x = 1,475,155,993,600
  5. Step 5: Solve for x
    x = 1,475,155,993,600/827,883
  6. Step 6: Final answer
    x = 1,781,841.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.