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Finding the Third Proportional to 462,253,728 and 1,024,175,610

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Solution

The third proportional to 462,253,728 and 1,024,175,610 is: 2,269,177,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,253,728 : 1,024,175,610 = 1,024,175,610 : x
  2. Step 2: Convert to fraction form
    462,253,728/1,024,175,610 = 1,024,175,610/x
  3. Step 3: Cross multiply
    462,253,728x = 1,024,175,610 × 1,024,175,610
  4. Step 4: Simplify right side
    462,253,728x = 1,048,935,680,118,872,064
  5. Step 5: Solve for x
    x = 1,048,935,680,118,872,064/462,253,728
  6. Step 6: Final answer
    x = 2,269,177,329.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.