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Finding the Third Proportional to 819,705 and 1,679,871

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Solution

The third proportional to 819,705 and 1,679,871 is: 3,442,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,705 : 1,679,871 = 1,679,871 : x
  2. Step 2: Convert to fraction form
    819,705/1,679,871 = 1,679,871/x
  3. Step 3: Cross multiply
    819,705x = 1,679,871 × 1,679,871
  4. Step 4: Simplify right side
    819,705x = 2,821,966,576,641
  5. Step 5: Solve for x
    x = 2,821,966,576,641/819,705
  6. Step 6: Final answer
    x = 3,442,661.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.