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Finding the Third Proportional to 1,747,364.06 and 2,648,111.06

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Solution

The third proportional to 1,747,364.06 and 2,648,111.06 is: 4,013,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,364.06 : 2,648,111.06 = 2,648,111.06 : x
  2. Step 2: Convert to fraction form
    1,747,364.06/2,648,111.06 = 2,648,111.06/x
  3. Step 3: Cross multiply
    1,747,364.06x = 2,648,111.06 × 2,648,111.06
  4. Step 4: Simplify right side
    1,747,364.06x = 7,012,492,199,334.88
  5. Step 5: Solve for x
    x = 7,012,492,199,334.88/1,747,364.06
  6. Step 6: Final answer
    x = 4,013,183.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.