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Finding the Third Proportional to 711,992 and 951,091

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Solution

The third proportional to 711,992 and 951,091 is: 1,270,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,992 : 951,091 = 951,091 : x
  2. Step 2: Convert to fraction form
    711,992/951,091 = 951,091/x
  3. Step 3: Cross multiply
    711,992x = 951,091 × 951,091
  4. Step 4: Simplify right side
    711,992x = 904,574,090,281
  5. Step 5: Solve for x
    x = 904,574,090,281/711,992
  6. Step 6: Final answer
    x = 1,270,483.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.