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Finding the Third Proportional to 716,398 and 1,083,811

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Solution

The third proportional to 716,398 and 1,083,811 is: 1,639,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,398 : 1,083,811 = 1,083,811 : x
  2. Step 2: Convert to fraction form
    716,398/1,083,811 = 1,083,811/x
  3. Step 3: Cross multiply
    716,398x = 1,083,811 × 1,083,811
  4. Step 4: Simplify right side
    716,398x = 1,174,646,283,721
  5. Step 5: Solve for x
    x = 1,174,646,283,721/716,398
  6. Step 6: Final answer
    x = 1,639,656.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.