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Finding the Third Proportional to 778,425.19 and 1,684,788.61

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Solution

The third proportional to 778,425.19 and 1,684,788.61 is: 3,646,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,425.19 : 1,684,788.61 = 1,684,788.61 : x
  2. Step 2: Convert to fraction form
    778,425.19/1,684,788.61 = 1,684,788.61/x
  3. Step 3: Cross multiply
    778,425.19x = 1,684,788.61 × 1,684,788.61
  4. Step 4: Simplify right side
    778,425.19x = 2,838,512,658,279.75
  5. Step 5: Solve for x
    x = 2,838,512,658,279.75/778,425.19
  6. Step 6: Final answer
    x = 3,646,481.00

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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.