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Finding the Third Proportional to 1,085,603 and 2,315,481

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Solution

The third proportional to 1,085,603 and 2,315,481 is: 4,938,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,603 : 2,315,481 = 2,315,481 : x
  2. Step 2: Convert to fraction form
    1,085,603/2,315,481 = 2,315,481/x
  3. Step 3: Cross multiply
    1,085,603x = 2,315,481 × 2,315,481
  4. Step 4: Simplify right side
    1,085,603x = 5,361,452,261,361
  5. Step 5: Solve for x
    x = 5,361,452,261,361/1,085,603
  6. Step 6: Final answer
    x = 4,938,685.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.