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Finding the Third Proportional to 1,869,160.50 and 2,902,884.75

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Solution

The third proportional to 1,869,160.50 and 2,902,884.75 is: 4,508,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,160.50 : 2,902,884.75 = 2,902,884.75 : x
  2. Step 2: Convert to fraction form
    1,869,160.50/2,902,884.75 = 2,902,884.75/x
  3. Step 3: Cross multiply
    1,869,160.50x = 2,902,884.75 × 2,902,884.75
  4. Step 4: Simplify right side
    1,869,160.50x = 8,426,739,871,782.56
  5. Step 5: Solve for x
    x = 8,426,739,871,782.56/1,869,160.50
  6. Step 6: Final answer
    x = 4,508,301.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.