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Finding the Third Proportional to 2,378,903.50 and 3,830,397

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Solution

The third proportional to 2,378,903.50 and 3,830,397 is: 6,167,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,903.50 : 3,830,397 = 3,830,397 : x
  2. Step 2: Convert to fraction form
    2,378,903.50/3,830,397 = 3,830,397/x
  3. Step 3: Cross multiply
    2,378,903.50x = 3,830,397 × 3,830,397
  4. Step 4: Simplify right side
    2,378,903.50x = 14,671,941,177,609
  5. Step 5: Solve for x
    x = 14,671,941,177,609/2,378,903.50
  6. Step 6: Final answer
    x = 6,167,522.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.