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Finding the Third Proportional to 774,342 and 1,173,168

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Solution

The third proportional to 774,342 and 1,173,168 is: 1,777,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,342 : 1,173,168 = 1,173,168 : x
  2. Step 2: Convert to fraction form
    774,342/1,173,168 = 1,173,168/x
  3. Step 3: Cross multiply
    774,342x = 1,173,168 × 1,173,168
  4. Step 4: Simplify right side
    774,342x = 1,376,323,156,224
  5. Step 5: Solve for x
    x = 1,376,323,156,224/774,342
  6. Step 6: Final answer
    x = 1,777,409.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.