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Finding the Third Proportional to 2,280,470 and 3,071,638

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Solution

The third proportional to 2,280,470 and 3,071,638 is: 4,137,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280,470 : 3,071,638 = 3,071,638 : x
  2. Step 2: Convert to fraction form
    2,280,470/3,071,638 = 3,071,638/x
  3. Step 3: Cross multiply
    2,280,470x = 3,071,638 × 3,071,638
  4. Step 4: Simplify right side
    2,280,470x = 9,434,960,003,044
  5. Step 5: Solve for x
    x = 9,434,960,003,044/2,280,470
  6. Step 6: Final answer
    x = 4,137,287.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.