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Finding the Third Proportional to 905,752 and 1,938,348

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Solution

The third proportional to 905,752 and 1,938,348 is: 4,148,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,752 : 1,938,348 = 1,938,348 : x
  2. Step 2: Convert to fraction form
    905,752/1,938,348 = 1,938,348/x
  3. Step 3: Cross multiply
    905,752x = 1,938,348 × 1,938,348
  4. Step 4: Simplify right side
    905,752x = 3,757,192,969,104
  5. Step 5: Solve for x
    x = 3,757,192,969,104/905,752
  6. Step 6: Final answer
    x = 4,148,147.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.