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Finding the Third Proportional to 766,280 and 1,642,660

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Solution

The third proportional to 766,280 and 1,642,660 is: 3,521,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,280 : 1,642,660 = 1,642,660 : x
  2. Step 2: Convert to fraction form
    766,280/1,642,660 = 1,642,660/x
  3. Step 3: Cross multiply
    766,280x = 1,642,660 × 1,642,660
  4. Step 4: Simplify right side
    766,280x = 2,698,331,875,600
  5. Step 5: Solve for x
    x = 2,698,331,875,600/766,280
  6. Step 6: Final answer
    x = 3,521,339.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.