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Finding the Third Proportional to 1,968,854.34 and 4,273,823.25

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Solution

The third proportional to 1,968,854.34 and 4,273,823.25 is: 9,277,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,854.34 : 4,273,823.25 = 4,273,823.25 : x
  2. Step 2: Convert to fraction form
    1,968,854.34/4,273,823.25 = 4,273,823.25/x
  3. Step 3: Cross multiply
    1,968,854.34x = 4,273,823.25 × 4,273,823.25
  4. Step 4: Simplify right side
    1,968,854.34x = 18,265,565,172,240.56
  5. Step 5: Solve for x
    x = 18,265,565,172,240.56/1,968,854.34
  6. Step 6: Final answer
    x = 9,277,255.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.