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Finding the Third Proportional to 778,453.50 and 1,710,267

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Solution

The third proportional to 778,453.50 and 1,710,267 is: 3,757,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,453.50 : 1,710,267 = 1,710,267 : x
  2. Step 2: Convert to fraction form
    778,453.50/1,710,267 = 1,710,267/x
  3. Step 3: Cross multiply
    778,453.50x = 1,710,267 × 1,710,267
  4. Step 4: Simplify right side
    778,453.50x = 2,925,013,211,289
  5. Step 5: Solve for x
    x = 2,925,013,211,289/778,453.50
  6. Step 6: Final answer
    x = 3,757,466.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.