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Finding the Third Proportional to 592,137,438 and 1,283,122,848

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Solution

The third proportional to 592,137,438 and 1,283,122,848 is: 2,780,442,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,137,438 : 1,283,122,848 = 1,283,122,848 : x
  2. Step 2: Convert to fraction form
    592,137,438/1,283,122,848 = 1,283,122,848/x
  3. Step 3: Cross multiply
    592,137,438x = 1,283,122,848 × 1,283,122,848
  4. Step 4: Simplify right side
    592,137,438x = 1,646,404,243,059,631,104
  5. Step 5: Solve for x
    x = 1,646,404,243,059,631,104/592,137,438
  6. Step 6: Final answer
    x = 2,780,442,744.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.