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Finding the Third Proportional to 494,223,379 and 1,083,397,549

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Solution

The third proportional to 494,223,379 and 1,083,397,549 is: 2,374,938,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,223,379 : 1,083,397,549 = 1,083,397,549 : x
  2. Step 2: Convert to fraction form
    494,223,379/1,083,397,549 = 1,083,397,549/x
  3. Step 3: Cross multiply
    494,223,379x = 1,083,397,549 × 1,083,397,549
  4. Step 4: Simplify right side
    494,223,379x = 1,173,750,249,179,207,424
  5. Step 5: Solve for x
    x = 1,173,750,249,179,207,424/494,223,379
  6. Step 6: Final answer
    x = 2,374,938,740.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.