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Finding the Third Proportional to 2,406,607.50 and 3,610,431

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Solution

The third proportional to 2,406,607.50 and 3,610,431 is: 5,416,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,607.50 : 3,610,431 = 3,610,431 : x
  2. Step 2: Convert to fraction form
    2,406,607.50/3,610,431 = 3,610,431/x
  3. Step 3: Cross multiply
    2,406,607.50x = 3,610,431 × 3,610,431
  4. Step 4: Simplify right side
    2,406,607.50x = 13,035,212,005,761
  5. Step 5: Solve for x
    x = 13,035,212,005,761/2,406,607.50
  6. Step 6: Final answer
    x = 5,416,426.24

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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.