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Finding the Third Proportional to 821,856 and 1,119,604.50

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Solution

The third proportional to 821,856 and 1,119,604.50 is: 1,525,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,856 : 1,119,604.50 = 1,119,604.50 : x
  2. Step 2: Convert to fraction form
    821,856/1,119,604.50 = 1,119,604.50/x
  3. Step 3: Cross multiply
    821,856x = 1,119,604.50 × 1,119,604.50
  4. Step 4: Simplify right side
    821,856x = 1,253,514,236,420.25
  5. Step 5: Solve for x
    x = 1,253,514,236,420.25/821,856
  6. Step 6: Final answer
    x = 1,525,223.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.