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Finding the Third Proportional to 292,191,450 and 642,820,488

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Solution

The third proportional to 292,191,450 and 642,820,488 is: 1,414,203,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,191,450 : 642,820,488 = 642,820,488 : x
  2. Step 2: Convert to fraction form
    292,191,450/642,820,488 = 642,820,488/x
  3. Step 3: Cross multiply
    292,191,450x = 642,820,488 × 642,820,488
  4. Step 4: Simplify right side
    292,191,450x = 413,218,179,792,558,144
  5. Step 5: Solve for x
    x = 413,218,179,792,558,144/292,191,450
  6. Step 6: Final answer
    x = 1,414,203,529.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.