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Finding the Third Proportional to 714,160 and 947,796

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Solution

The third proportional to 714,160 and 947,796 is: 1,257,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,160 : 947,796 = 947,796 : x
  2. Step 2: Convert to fraction form
    714,160/947,796 = 947,796/x
  3. Step 3: Cross multiply
    714,160x = 947,796 × 947,796
  4. Step 4: Simplify right side
    714,160x = 898,317,257,616
  5. Step 5: Solve for x
    x = 898,317,257,616/714,160
  6. Step 6: Final answer
    x = 1,257,865.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.