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Finding the Third Proportional to 932,156 and 2,042,168

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Solution

The third proportional to 932,156 and 2,042,168 is: 4,473,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,156 : 2,042,168 = 2,042,168 : x
  2. Step 2: Convert to fraction form
    932,156/2,042,168 = 2,042,168/x
  3. Step 3: Cross multiply
    932,156x = 2,042,168 × 2,042,168
  4. Step 4: Simplify right side
    932,156x = 4,170,450,140,224
  5. Step 5: Solve for x
    x = 4,170,450,140,224/932,156
  6. Step 6: Final answer
    x = 4,473,983.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.