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Finding the Third Proportional to 2,174,125.50 and 4,611,339

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Solution

The third proportional to 2,174,125.50 and 4,611,339 is: 9,780,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,125.50 : 4,611,339 = 4,611,339 : x
  2. Step 2: Convert to fraction form
    2,174,125.50/4,611,339 = 4,611,339/x
  3. Step 3: Cross multiply
    2,174,125.50x = 4,611,339 × 4,611,339
  4. Step 4: Simplify right side
    2,174,125.50x = 21,264,447,372,921
  5. Step 5: Solve for x
    x = 21,264,447,372,921/2,174,125.50
  6. Step 6: Final answer
    x = 9,780,689.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.