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Finding the Third Proportional to 592,137,434 and 1,283,122,840

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Solution

The third proportional to 592,137,434 and 1,283,122,840 is: 2,780,442,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,137,434 : 1,283,122,840 = 1,283,122,840 : x
  2. Step 2: Convert to fraction form
    592,137,434/1,283,122,840 = 1,283,122,840/x
  3. Step 3: Cross multiply
    592,137,434x = 1,283,122,840 × 1,283,122,840
  4. Step 4: Simplify right side
    592,137,434x = 1,646,404,222,529,665,536
  5. Step 5: Solve for x
    x = 1,646,404,222,529,665,536/592,137,434
  6. Step 6: Final answer
    x = 2,780,442,728.32

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