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Finding the Third Proportional to 590,097,966 and 866,015,001

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Solution

The third proportional to 590,097,966 and 866,015,001 is: 1,270,944,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,097,966 : 866,015,001 = 866,015,001 : x
  2. Step 2: Convert to fraction form
    590,097,966/866,015,001 = 866,015,001/x
  3. Step 3: Cross multiply
    590,097,966x = 866,015,001 × 866,015,001
  4. Step 4: Simplify right side
    590,097,966x = 749,981,981,957,030,016
  5. Step 5: Solve for x
    x = 749,981,981,957,030,016/590,097,966
  6. Step 6: Final answer
    x = 1,270,944,868.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.