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Finding the Third Proportional to 2,894,988 and 6,174,720

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Solution

The third proportional to 2,894,988 and 6,174,720 is: 13,170,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,988 : 6,174,720 = 6,174,720 : x
  2. Step 2: Convert to fraction form
    2,894,988/6,174,720 = 6,174,720/x
  3. Step 3: Cross multiply
    2,894,988x = 6,174,720 × 6,174,720
  4. Step 4: Simplify right side
    2,894,988x = 38,127,167,078,400
  5. Step 5: Solve for x
    x = 38,127,167,078,400/2,894,988
  6. Step 6: Final answer
    x = 13,170,060.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.