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Finding the Third Proportional to 619,889,314 and 1,348,737,126

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Solution

The third proportional to 619,889,314 and 1,348,737,126 is: 2,934,542,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,889,314 : 1,348,737,126 = 1,348,737,126 : x
  2. Step 2: Convert to fraction form
    619,889,314/1,348,737,126 = 1,348,737,126/x
  3. Step 3: Cross multiply
    619,889,314x = 1,348,737,126 × 1,348,737,126
  4. Step 4: Simplify right side
    619,889,314x = 1,819,091,835,050,739,968
  5. Step 5: Solve for x
    x = 1,819,091,835,050,739,968/619,889,314
  6. Step 6: Final answer
    x = 2,934,542,980.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.