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Finding the Third Proportional to 770,347 and 1,717,723

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Solution

The third proportional to 770,347 and 1,717,723 is: 3,830,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,347 : 1,717,723 = 1,717,723 : x
  2. Step 2: Convert to fraction form
    770,347/1,717,723 = 1,717,723/x
  3. Step 3: Cross multiply
    770,347x = 1,717,723 × 1,717,723
  4. Step 4: Simplify right side
    770,347x = 2,950,572,304,729
  5. Step 5: Solve for x
    x = 2,950,572,304,729/770,347
  6. Step 6: Final answer
    x = 3,830,186.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.