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Finding the Third Proportional to 1,970,854.50 and 4,236,312

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Solution

The third proportional to 1,970,854.50 and 4,236,312 is: 9,105,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,854.50 : 4,236,312 = 4,236,312 : x
  2. Step 2: Convert to fraction form
    1,970,854.50/4,236,312 = 4,236,312/x
  3. Step 3: Cross multiply
    1,970,854.50x = 4,236,312 × 4,236,312
  4. Step 4: Simplify right side
    1,970,854.50x = 17,946,339,361,344
  5. Step 5: Solve for x
    x = 17,946,339,361,344/1,970,854.50
  6. Step 6: Final answer
    x = 9,105,867.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.