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Finding the Third Proportional to 846,686 and 1,206,963

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Solution

The third proportional to 846,686 and 1,206,963 is: 1,720,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,686 : 1,206,963 = 1,206,963 : x
  2. Step 2: Convert to fraction form
    846,686/1,206,963 = 1,206,963/x
  3. Step 3: Cross multiply
    846,686x = 1,206,963 × 1,206,963
  4. Step 4: Simplify right side
    846,686x = 1,456,759,683,369
  5. Step 5: Solve for x
    x = 1,456,759,683,369/846,686
  6. Step 6: Final answer
    x = 1,720,543.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.