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Finding the Third Proportional to 789,721 and 1,705,533

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Solution

The third proportional to 789,721 and 1,705,533 is: 3,683,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,721 : 1,705,533 = 1,705,533 : x
  2. Step 2: Convert to fraction form
    789,721/1,705,533 = 1,705,533/x
  3. Step 3: Cross multiply
    789,721x = 1,705,533 × 1,705,533
  4. Step 4: Simplify right side
    789,721x = 2,908,842,814,089
  5. Step 5: Solve for x
    x = 2,908,842,814,089/789,721
  6. Step 6: Final answer
    x = 3,683,380.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.