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Finding the Third Proportional to 872,436 and 1,882,356

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Solution

The third proportional to 872,436 and 1,882,356 is: 4,061,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,436 : 1,882,356 = 1,882,356 : x
  2. Step 2: Convert to fraction form
    872,436/1,882,356 = 1,882,356/x
  3. Step 3: Cross multiply
    872,436x = 1,882,356 × 1,882,356
  4. Step 4: Simplify right side
    872,436x = 3,543,264,110,736
  5. Step 5: Solve for x
    x = 3,543,264,110,736/872,436
  6. Step 6: Final answer
    x = 4,061,345.60

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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.