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Finding the Third Proportional to 823,580 and 1,778,376

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Solution

The third proportional to 823,580 and 1,778,376 is: 3,840,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,580 : 1,778,376 = 1,778,376 : x
  2. Step 2: Convert to fraction form
    823,580/1,778,376 = 1,778,376/x
  3. Step 3: Cross multiply
    823,580x = 1,778,376 × 1,778,376
  4. Step 4: Simplify right side
    823,580x = 3,162,621,197,376
  5. Step 5: Solve for x
    x = 3,162,621,197,376/823,580
  6. Step 6: Final answer
    x = 3,840,089.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.