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Finding the Third Proportional to 770,339 and 1,717,708

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Solution

The third proportional to 770,339 and 1,717,708 is: 3,830,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,339 : 1,717,708 = 1,717,708 : x
  2. Step 2: Convert to fraction form
    770,339/1,717,708 = 1,717,708/x
  3. Step 3: Cross multiply
    770,339x = 1,717,708 × 1,717,708
  4. Step 4: Simplify right side
    770,339x = 2,950,520,773,264
  5. Step 5: Solve for x
    x = 2,950,520,773,264/770,339
  6. Step 6: Final answer
    x = 3,830,158.90

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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.