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Finding the Third Proportional to 1,763,820.56 and 3,863,948.06

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Solution

The third proportional to 1,763,820.56 and 3,863,948.06 is: 8,464,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,820.56 : 3,863,948.06 = 3,863,948.06 : x
  2. Step 2: Convert to fraction form
    1,763,820.56/3,863,948.06 = 3,863,948.06/x
  3. Step 3: Cross multiply
    1,763,820.56x = 3,863,948.06 × 3,863,948.06
  4. Step 4: Simplify right side
    1,763,820.56x = 14,930,094,629,697.50
  5. Step 5: Solve for x
    x = 14,930,094,629,697.50/1,763,820.56
  6. Step 6: Final answer
    x = 8,464,633.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.