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Finding the Third Proportional to 784,815 and 1,695,072

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Solution

The third proportional to 784,815 and 1,695,072 is: 3,661,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,815 : 1,695,072 = 1,695,072 : x
  2. Step 2: Convert to fraction form
    784,815/1,695,072 = 1,695,072/x
  3. Step 3: Cross multiply
    784,815x = 1,695,072 × 1,695,072
  4. Step 4: Simplify right side
    784,815x = 2,873,269,085,184
  5. Step 5: Solve for x
    x = 2,873,269,085,184/784,815
  6. Step 6: Final answer
    x = 3,661,078.20

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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.