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Finding the Third Proportional to 2,901,614 and 6,306,984

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Solution

The third proportional to 2,901,614 and 6,306,984 is: 13,708,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901,614 : 6,306,984 = 6,306,984 : x
  2. Step 2: Convert to fraction form
    2,901,614/6,306,984 = 6,306,984/x
  3. Step 3: Cross multiply
    2,901,614x = 6,306,984 × 6,306,984
  4. Step 4: Simplify right side
    2,901,614x = 39,778,047,176,256
  5. Step 5: Solve for x
    x = 39,778,047,176,256/2,901,614
  6. Step 6: Final answer
    x = 13,708,938.26

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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.