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Finding the Third Proportional to 819,420,438 and 1,802,283,896

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Solution

The third proportional to 819,420,438 and 1,802,283,896 is: 3,964,054,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,420,438 : 1,802,283,896 = 1,802,283,896 : x
  2. Step 2: Convert to fraction form
    819,420,438/1,802,283,896 = 1,802,283,896/x
  3. Step 3: Cross multiply
    819,420,438x = 1,802,283,896 × 1,802,283,896
  4. Step 4: Simplify right side
    819,420,438x = 3,248,227,241,780,938,752
  5. Step 5: Solve for x
    x = 3,248,227,241,780,938,752/819,420,438
  6. Step 6: Final answer
    x = 3,964,054,459.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.