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Finding the Third Proportional to 774,192 and 1,701,312

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Solution

The third proportional to 774,192 and 1,701,312 is: 3,738,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,192 : 1,701,312 = 1,701,312 : x
  2. Step 2: Convert to fraction form
    774,192/1,701,312 = 1,701,312/x
  3. Step 3: Cross multiply
    774,192x = 1,701,312 × 1,701,312
  4. Step 4: Simplify right side
    774,192x = 2,894,462,521,344
  5. Step 5: Solve for x
    x = 2,894,462,521,344/774,192
  6. Step 6: Final answer
    x = 3,738,688.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.