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Finding the Third Proportional to 1,297,761 and 1,735,948.50

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Solution

The third proportional to 1,297,761 and 1,735,948.50 is: 2,322,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,761 : 1,735,948.50 = 1,735,948.50 : x
  2. Step 2: Convert to fraction form
    1,297,761/1,735,948.50 = 1,735,948.50/x
  3. Step 3: Cross multiply
    1,297,761x = 1,735,948.50 × 1,735,948.50
  4. Step 4: Simplify right side
    1,297,761x = 3,013,517,194,652.25
  5. Step 5: Solve for x
    x = 3,013,517,194,652.25/1,297,761
  6. Step 6: Final answer
    x = 2,322,089.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.