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Finding the Third Proportional to 4,091,537 and 6,137,301

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Solution

The third proportional to 4,091,537 and 6,137,301 is: 9,205,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091,537 : 6,137,301 = 6,137,301 : x
  2. Step 2: Convert to fraction form
    4,091,537/6,137,301 = 6,137,301/x
  3. Step 3: Cross multiply
    4,091,537x = 6,137,301 × 6,137,301
  4. Step 4: Simplify right side
    4,091,537x = 37,666,463,564,601
  5. Step 5: Solve for x
    x = 37,666,463,564,601/4,091,537
  6. Step 6: Final answer
    x = 9,205,944.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.