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Finding the Third Proportional to 857,214 and 1,866,816

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Solution

The third proportional to 857,214 and 1,866,816 is: 4,065,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,214 : 1,866,816 = 1,866,816 : x
  2. Step 2: Convert to fraction form
    857,214/1,866,816 = 1,866,816/x
  3. Step 3: Cross multiply
    857,214x = 1,866,816 × 1,866,816
  4. Step 4: Simplify right side
    857,214x = 3,485,001,977,856
  5. Step 5: Solve for x
    x = 3,485,001,977,856/857,214
  6. Step 6: Final answer
    x = 4,065,498.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.