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Finding the Third Proportional to 730,283,193 and 1,722,210,521

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Solution

The third proportional to 730,283,193 and 1,722,210,521 is: 4,061,450,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,283,193 : 1,722,210,521 = 1,722,210,521 : x
  2. Step 2: Convert to fraction form
    730,283,193/1,722,210,521 = 1,722,210,521/x
  3. Step 3: Cross multiply
    730,283,193x = 1,722,210,521 × 1,722,210,521
  4. Step 4: Simplify right side
    730,283,193x = 2,966,009,078,643,091,456
  5. Step 5: Solve for x
    x = 2,966,009,078,643,091,456/730,283,193
  6. Step 6: Final answer
    x = 4,061,450,553.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.