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Finding the Third Proportional to 811,372,552 and 1,212,282,560

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Solution

The third proportional to 811,372,552 and 1,212,282,560 is: 1,811,287,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,372,552 : 1,212,282,560 = 1,212,282,560 : x
  2. Step 2: Convert to fraction form
    811,372,552/1,212,282,560 = 1,212,282,560/x
  3. Step 3: Cross multiply
    811,372,552x = 1,212,282,560 × 1,212,282,560
  4. Step 4: Simplify right side
    811,372,552x = 1,469,629,005,280,153,600
  5. Step 5: Solve for x
    x = 1,469,629,005,280,153,600/811,372,552
  6. Step 6: Final answer
    x = 1,811,287,554.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.