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Finding the Third Proportional to 766,952 and 1,651,640

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Solution

The third proportional to 766,952 and 1,651,640 is: 3,556,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,952 : 1,651,640 = 1,651,640 : x
  2. Step 2: Convert to fraction form
    766,952/1,651,640 = 1,651,640/x
  3. Step 3: Cross multiply
    766,952x = 1,651,640 × 1,651,640
  4. Step 4: Simplify right side
    766,952x = 2,727,914,689,600
  5. Step 5: Solve for x
    x = 2,727,914,689,600/766,952
  6. Step 6: Final answer
    x = 3,556,825.84

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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.