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Finding the Third Proportional to 766,216 and 1,554,320

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Solution

The third proportional to 766,216 and 1,554,320 is: 3,153,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,216 : 1,554,320 = 1,554,320 : x
  2. Step 2: Convert to fraction form
    766,216/1,554,320 = 1,554,320/x
  3. Step 3: Cross multiply
    766,216x = 1,554,320 × 1,554,320
  4. Step 4: Simplify right side
    766,216x = 2,415,910,662,400
  5. Step 5: Solve for x
    x = 2,415,910,662,400/766,216
  6. Step 6: Final answer
    x = 3,153,041.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.