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Finding the Third Proportional to 345,184,493 and 754,937,837

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Solution

The third proportional to 345,184,493 and 754,937,837 is: 1,651,091,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,184,493 : 754,937,837 = 754,937,837 : x
  2. Step 2: Convert to fraction form
    345,184,493/754,937,837 = 754,937,837/x
  3. Step 3: Cross multiply
    345,184,493x = 754,937,837 × 754,937,837
  4. Step 4: Simplify right side
    345,184,493x = 569,931,137,734,238,592
  5. Step 5: Solve for x
    x = 569,931,137,734,238,592/345,184,493
  6. Step 6: Final answer
    x = 1,651,091,370.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.