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Finding the Third Proportional to 1,841,288 and 3,938,432

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Solution

The third proportional to 1,841,288 and 3,938,432 is: 8,424,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,288 : 3,938,432 = 3,938,432 : x
  2. Step 2: Convert to fraction form
    1,841,288/3,938,432 = 3,938,432/x
  3. Step 3: Cross multiply
    1,841,288x = 3,938,432 × 3,938,432
  4. Step 4: Simplify right side
    1,841,288x = 15,511,246,618,624
  5. Step 5: Solve for x
    x = 15,511,246,618,624/1,841,288
  6. Step 6: Final answer
    x = 8,424,128.45

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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.