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Finding the Third Proportional to 819,444 and 1,285,468.50

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Solution

The third proportional to 819,444 and 1,285,468.50 is: 2,016,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,444 : 1,285,468.50 = 1,285,468.50 : x
  2. Step 2: Convert to fraction form
    819,444/1,285,468.50 = 1,285,468.50/x
  3. Step 3: Cross multiply
    819,444x = 1,285,468.50 × 1,285,468.50
  4. Step 4: Simplify right side
    819,444x = 1,652,429,264,492.25
  5. Step 5: Solve for x
    x = 1,652,429,264,492.25/819,444
  6. Step 6: Final answer
    x = 2,016,524.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.