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Finding the Third Proportional to 3,090,415 and 4,727,507

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Solution

The third proportional to 3,090,415 and 4,727,507 is: 7,231,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090,415 : 4,727,507 = 4,727,507 : x
  2. Step 2: Convert to fraction form
    3,090,415/4,727,507 = 4,727,507/x
  3. Step 3: Cross multiply
    3,090,415x = 4,727,507 × 4,727,507
  4. Step 4: Simplify right side
    3,090,415x = 22,349,322,435,049
  5. Step 5: Solve for x
    x = 22,349,322,435,049/3,090,415
  6. Step 6: Final answer
    x = 7,231,819.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.