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Finding the Third Proportional to 846,685 and 1,206,961

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Solution

The third proportional to 846,685 and 1,206,961 is: 1,720,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,685 : 1,206,961 = 1,206,961 : x
  2. Step 2: Convert to fraction form
    846,685/1,206,961 = 1,206,961/x
  3. Step 3: Cross multiply
    846,685x = 1,206,961 × 1,206,961
  4. Step 4: Simplify right side
    846,685x = 1,456,754,855,521
  5. Step 5: Solve for x
    x = 1,456,754,855,521/846,685
  6. Step 6: Final answer
    x = 1,720,539.35

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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.