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Finding the Third Proportional to 704,850,278 and 1,493,724,492

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Solution

The third proportional to 704,850,278 and 1,493,724,492 is: 3,165,513,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,850,278 : 1,493,724,492 = 1,493,724,492 : x
  2. Step 2: Convert to fraction form
    704,850,278/1,493,724,492 = 1,493,724,492/x
  3. Step 3: Cross multiply
    704,850,278x = 1,493,724,492 × 1,493,724,492
  4. Step 4: Simplify right side
    704,850,278x = 2,231,212,858,000,658,176
  5. Step 5: Solve for x
    x = 2,231,212,858,000,658,176/704,850,278
  6. Step 6: Final answer
    x = 3,165,513,198.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.