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Finding the Third Proportional to 2,904,489 and 6,312,708

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Solution

The third proportional to 2,904,489 and 6,312,708 is: 13,720,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904,489 : 6,312,708 = 6,312,708 : x
  2. Step 2: Convert to fraction form
    2,904,489/6,312,708 = 6,312,708/x
  3. Step 3: Cross multiply
    2,904,489x = 6,312,708 × 6,312,708
  4. Step 4: Simplify right side
    2,904,489x = 39,850,282,293,264
  5. Step 5: Solve for x
    x = 39,850,282,293,264/2,904,489
  6. Step 6: Final answer
    x = 13,720,238.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.