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Finding the Third Proportional to 593,327,648 and 872,844,298

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Solution

The third proportional to 593,327,648 and 872,844,298 is: 1,284,041,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,327,648 : 872,844,298 = 872,844,298 : x
  2. Step 2: Convert to fraction form
    593,327,648/872,844,298 = 872,844,298/x
  3. Step 3: Cross multiply
    593,327,648x = 872,844,298 × 872,844,298
  4. Step 4: Simplify right side
    593,327,648x = 761,857,168,551,112,832
  5. Step 5: Solve for x
    x = 761,857,168,551,112,832/593,327,648
  6. Step 6: Final answer
    x = 1,284,041,239.47

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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.