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Finding the Third Proportional to 494,223,382 and 1,083,397,555

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Solution

The third proportional to 494,223,382 and 1,083,397,555 is: 2,374,938,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,223,382 : 1,083,397,555 = 1,083,397,555 : x
  2. Step 2: Convert to fraction form
    494,223,382/1,083,397,555 = 1,083,397,555/x
  3. Step 3: Cross multiply
    494,223,382x = 1,083,397,555 × 1,083,397,555
  4. Step 4: Simplify right side
    494,223,382x = 1,173,750,262,179,977,984
  5. Step 5: Solve for x
    x = 1,173,750,262,179,977,984/494,223,382
  6. Step 6: Final answer
    x = 2,374,938,752.25

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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.