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Finding the Third Proportional to 770,184 and 1,717,456.50

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Solution

The third proportional to 770,184 and 1,717,456.50 is: 3,829,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,184 : 1,717,456.50 = 1,717,456.50 : x
  2. Step 2: Convert to fraction form
    770,184/1,717,456.50 = 1,717,456.50/x
  3. Step 3: Cross multiply
    770,184x = 1,717,456.50 × 1,717,456.50
  4. Step 4: Simplify right side
    770,184x = 2,949,656,829,392.25
  5. Step 5: Solve for x
    x = 2,949,656,829,392.25/770,184
  6. Step 6: Final answer
    x = 3,829,807.98

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