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Finding the Third Proportional to 1,223,136 and 2,486,866.50

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Solution

The third proportional to 1,223,136 and 2,486,866.50 is: 5,056,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,136 : 2,486,866.50 = 2,486,866.50 : x
  2. Step 2: Convert to fraction form
    1,223,136/2,486,866.50 = 2,486,866.50/x
  3. Step 3: Cross multiply
    1,223,136x = 2,486,866.50 × 2,486,866.50
  4. Step 4: Simplify right side
    1,223,136x = 6,184,504,988,822.25
  5. Step 5: Solve for x
    x = 6,184,504,988,822.25/1,223,136
  6. Step 6: Final answer
    x = 5,056,269.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.