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Finding the Third Proportional to 857,440.69 and 1,874,293.17

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Solution

The third proportional to 857,440.69 and 1,874,293.17 is: 4,097,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,440.69 : 1,874,293.17 = 1,874,293.17 : x
  2. Step 2: Convert to fraction form
    857,440.69/1,874,293.17 = 1,874,293.17/x
  3. Step 3: Cross multiply
    857,440.69x = 1,874,293.17 × 1,874,293.17
  4. Step 4: Simplify right side
    857,440.69x = 3,512,974,894,137.25
  5. Step 5: Solve for x
    x = 3,512,974,894,137.25/857,440.69
  6. Step 6: Final answer
    x = 4,097,047.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.