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Finding the Third Proportional to 823,569 and 1,778,358

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Solution

The third proportional to 823,569 and 1,778,358 is: 3,840,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,569 : 1,778,358 = 1,778,358 : x
  2. Step 2: Convert to fraction form
    823,569/1,778,358 = 1,778,358/x
  3. Step 3: Cross multiply
    823,569x = 1,778,358 × 1,778,358
  4. Step 4: Simplify right side
    823,569x = 3,162,557,176,164
  5. Step 5: Solve for x
    x = 3,162,557,176,164/823,569
  6. Step 6: Final answer
    x = 3,840,063.40

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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.