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Finding the Third Proportional to 858,397.50 and 1,834,164

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Solution

The third proportional to 858,397.50 and 1,834,164 is: 3,919,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,397.50 : 1,834,164 = 1,834,164 : x
  2. Step 2: Convert to fraction form
    858,397.50/1,834,164 = 1,834,164/x
  3. Step 3: Cross multiply
    858,397.50x = 1,834,164 × 1,834,164
  4. Step 4: Simplify right side
    858,397.50x = 3,364,157,578,896
  5. Step 5: Solve for x
    x = 3,364,157,578,896/858,397.50
  6. Step 6: Final answer
    x = 3,919,113.91

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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.