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Finding the Third Proportional to 1,664,747.44 and 3,582,154.13

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Solution

The third proportional to 1,664,747.44 and 3,582,154.13 is: 7,707,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,747.44 : 3,582,154.13 = 3,582,154.13 : x
  2. Step 2: Convert to fraction form
    1,664,747.44/3,582,154.13 = 3,582,154.13/x
  3. Step 3: Cross multiply
    1,664,747.44x = 3,582,154.13 × 3,582,154.13
  4. Step 4: Simplify right side
    1,664,747.44x = 12,831,828,175,254.52
  5. Step 5: Solve for x
    x = 12,831,828,175,254.52/1,664,747.44
  6. Step 6: Final answer
    x = 7,707,972.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.