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Finding the Third Proportional to 947,112 and 1,430,460

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Solution

The third proportional to 947,112 and 1,430,460 is: 2,160,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,112 : 1,430,460 = 1,430,460 : x
  2. Step 2: Convert to fraction form
    947,112/1,430,460 = 1,430,460/x
  3. Step 3: Cross multiply
    947,112x = 1,430,460 × 1,430,460
  4. Step 4: Simplify right side
    947,112x = 2,046,215,811,600
  5. Step 5: Solve for x
    x = 2,046,215,811,600/947,112
  6. Step 6: Final answer
    x = 2,160,479.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.