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Finding the Third Proportional to 1,226,406,625 and 1,839,159,507

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Solution

The third proportional to 1,226,406,625 and 1,839,159,507 is: 2,758,063,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,406,625 : 1,839,159,507 = 1,839,159,507 : x
  2. Step 2: Convert to fraction form
    1,226,406,625/1,839,159,507 = 1,839,159,507/x
  3. Step 3: Cross multiply
    1,226,406,625x = 1,839,159,507 × 1,839,159,507
  4. Step 4: Simplify right side
    1,226,406,625x = 3,382,507,692,188,483,072
  5. Step 5: Solve for x
    x = 3,382,507,692,188,483,072/1,226,406,625
  6. Step 6: Final answer
    x = 2,758,063,780.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.