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Finding the Third Proportional to 366,387,723 and 790,169,454

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Solution

The third proportional to 366,387,723 and 790,169,454 is: 1,704,117,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,387,723 : 790,169,454 = 790,169,454 : x
  2. Step 2: Convert to fraction form
    366,387,723/790,169,454 = 790,169,454/x
  3. Step 3: Cross multiply
    366,387,723x = 790,169,454 × 790,169,454
  4. Step 4: Simplify right side
    366,387,723x = 624,367,766,034,658,176
  5. Step 5: Solve for x
    x = 624,367,766,034,658,176/366,387,723
  6. Step 6: Final answer
    x = 1,704,117,596.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.