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Finding the Third Proportional to 798,148 and 945,772

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Solution

The third proportional to 798,148 and 945,772 is: 1,120,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,148 : 945,772 = 945,772 : x
  2. Step 2: Convert to fraction form
    798,148/945,772 = 945,772/x
  3. Step 3: Cross multiply
    798,148x = 945,772 × 945,772
  4. Step 4: Simplify right side
    798,148x = 894,484,675,984
  5. Step 5: Solve for x
    x = 894,484,675,984/798,148
  6. Step 6: Final answer
    x = 1,120,700.27

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.