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Finding the Third Proportional to 819,420,460 and 1,802,283,943

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Solution

The third proportional to 819,420,460 and 1,802,283,943 is: 3,964,054,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,420,460 : 1,802,283,943 = 1,802,283,943 : x
  2. Step 2: Convert to fraction form
    819,420,460/1,802,283,943 = 1,802,283,943/x
  3. Step 3: Cross multiply
    819,420,460x = 1,802,283,943 × 1,802,283,943
  4. Step 4: Simplify right side
    819,420,460x = 3,248,227,411,195,627,008
  5. Step 5: Solve for x
    x = 3,248,227,411,195,627,008/819,420,460
  6. Step 6: Final answer
    x = 3,964,054,560.21

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