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Finding the Third Proportional to 947,117 and 1,683,863

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Solution

The third proportional to 947,117 and 1,683,863 is: 2,993,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,117 : 1,683,863 = 1,683,863 : x
  2. Step 2: Convert to fraction form
    947,117/1,683,863 = 1,683,863/x
  3. Step 3: Cross multiply
    947,117x = 1,683,863 × 1,683,863
  4. Step 4: Simplify right side
    947,117x = 2,835,394,602,769
  5. Step 5: Solve for x
    x = 2,835,394,602,769/947,117
  6. Step 6: Final answer
    x = 2,993,711.02

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.