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Finding the Third Proportional to 1,143,153 and 1,683,148.50

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Solution

The third proportional to 1,143,153 and 1,683,148.50 is: 2,478,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,153 : 1,683,148.50 = 1,683,148.50 : x
  2. Step 2: Convert to fraction form
    1,143,153/1,683,148.50 = 1,683,148.50/x
  3. Step 3: Cross multiply
    1,143,153x = 1,683,148.50 × 1,683,148.50
  4. Step 4: Simplify right side
    1,143,153x = 2,832,988,873,052.25
  5. Step 5: Solve for x
    x = 2,832,988,873,052.25/1,143,153
  6. Step 6: Final answer
    x = 2,478,223.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.