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Finding the Third Proportional to 782,856 and 1,668,222

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Solution

The third proportional to 782,856 and 1,668,222 is: 3,554,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,856 : 1,668,222 = 1,668,222 : x
  2. Step 2: Convert to fraction form
    782,856/1,668,222 = 1,668,222/x
  3. Step 3: Cross multiply
    782,856x = 1,668,222 × 1,668,222
  4. Step 4: Simplify right side
    782,856x = 2,782,964,641,284
  5. Step 5: Solve for x
    x = 2,782,964,641,284/782,856
  6. Step 6: Final answer
    x = 3,554,887.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.