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Finding the Third Proportional to 590,097,970 and 866,015,007

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Solution

The third proportional to 590,097,970 and 866,015,007 is: 1,270,944,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,097,970 : 866,015,007 = 866,015,007 : x
  2. Step 2: Convert to fraction form
    590,097,970/866,015,007 = 866,015,007/x
  3. Step 3: Cross multiply
    590,097,970x = 866,015,007 × 866,015,007
  4. Step 4: Simplify right side
    590,097,970x = 749,981,992,349,210,112
  5. Step 5: Solve for x
    x = 749,981,992,349,210,112/590,097,970
  6. Step 6: Final answer
    x = 1,270,944,877.76

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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.