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Finding the Third Proportional to 766,968 and 1,203,210

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Solution

The third proportional to 766,968 and 1,203,210 is: 1,887,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,968 : 1,203,210 = 1,203,210 : x
  2. Step 2: Convert to fraction form
    766,968/1,203,210 = 1,203,210/x
  3. Step 3: Cross multiply
    766,968x = 1,203,210 × 1,203,210
  4. Step 4: Simplify right side
    766,968x = 1,447,714,304,100
  5. Step 5: Solve for x
    x = 1,447,714,304,100/766,968
  6. Step 6: Final answer
    x = 1,887,581.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.