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Finding the Third Proportional to 2,038,920 and 4,432,272

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Solution

The third proportional to 2,038,920 and 4,432,272 is: 9,635,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038,920 : 4,432,272 = 4,432,272 : x
  2. Step 2: Convert to fraction form
    2,038,920/4,432,272 = 4,432,272/x
  3. Step 3: Cross multiply
    2,038,920x = 4,432,272 × 4,432,272
  4. Step 4: Simplify right side
    2,038,920x = 19,645,035,081,984
  5. Step 5: Solve for x
    x = 19,645,035,081,984/2,038,920
  6. Step 6: Final answer
    x = 9,635,020.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.