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Finding the Third Proportional to 345,240,134 and 739,451,574

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Solution

The third proportional to 345,240,134 and 739,451,574 is: 1,583,792,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,240,134 : 739,451,574 = 739,451,574 : x
  2. Step 2: Convert to fraction form
    345,240,134/739,451,574 = 739,451,574/x
  3. Step 3: Cross multiply
    345,240,134x = 739,451,574 × 739,451,574
  4. Step 4: Simplify right side
    345,240,134x = 546,788,630,291,077,504
  5. Step 5: Solve for x
    x = 546,788,630,291,077,504/345,240,134
  6. Step 6: Final answer
    x = 1,583,792,196.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.