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Finding the Third Proportional to 2,941,508 and 6,403,887

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Solution

The third proportional to 2,941,508 and 6,403,887 is: 13,941,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,508 : 6,403,887 = 6,403,887 : x
  2. Step 2: Convert to fraction form
    2,941,508/6,403,887 = 6,403,887/x
  3. Step 3: Cross multiply
    2,941,508x = 6,403,887 × 6,403,887
  4. Step 4: Simplify right side
    2,941,508x = 41,009,768,708,769
  5. Step 5: Solve for x
    x = 41,009,768,708,769/2,941,508
  6. Step 6: Final answer
    x = 13,941,749.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.