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Finding the Third Proportional to 787,585.50 and 1,683,129

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Solution

The third proportional to 787,585.50 and 1,683,129 is: 3,596,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,585.50 : 1,683,129 = 1,683,129 : x
  2. Step 2: Convert to fraction form
    787,585.50/1,683,129 = 1,683,129/x
  3. Step 3: Cross multiply
    787,585.50x = 1,683,129 × 1,683,129
  4. Step 4: Simplify right side
    787,585.50x = 2,832,923,230,641
  5. Step 5: Solve for x
    x = 2,832,923,230,641/787,585.50
  6. Step 6: Final answer
    x = 3,596,972.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.