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Finding the Third Proportional to 392,877,966 and 855,507,572

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Solution

The third proportional to 392,877,966 and 855,507,572 is: 1,862,902,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,877,966 : 855,507,572 = 855,507,572 : x
  2. Step 2: Convert to fraction form
    392,877,966/855,507,572 = 855,507,572/x
  3. Step 3: Cross multiply
    392,877,966x = 855,507,572 × 855,507,572
  4. Step 4: Simplify right side
    392,877,966x = 731,893,205,749,335,168
  5. Step 5: Solve for x
    x = 731,893,205,749,335,168/392,877,966
  6. Step 6: Final answer
    x = 1,862,902,145.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.