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Finding the Third Proportional to 778,570 and 1,673,523

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Solution

The third proportional to 778,570 and 1,673,523 is: 3,597,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,570 : 1,673,523 = 1,673,523 : x
  2. Step 2: Convert to fraction form
    778,570/1,673,523 = 1,673,523/x
  3. Step 3: Cross multiply
    778,570x = 1,673,523 × 1,673,523
  4. Step 4: Simplify right side
    778,570x = 2,800,679,231,529
  5. Step 5: Solve for x
    x = 2,800,679,231,529/778,570
  6. Step 6: Final answer
    x = 3,597,209.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.