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Finding the Third Proportional to 4,296,964 and 6,214,159

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Solution

The third proportional to 4,296,964 and 6,214,159 is: 8,986,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296,964 : 6,214,159 = 6,214,159 : x
  2. Step 2: Convert to fraction form
    4,296,964/6,214,159 = 6,214,159/x
  3. Step 3: Cross multiply
    4,296,964x = 6,214,159 × 6,214,159
  4. Step 4: Simplify right side
    4,296,964x = 38,615,772,077,281
  5. Step 5: Solve for x
    x = 38,615,772,077,281/4,296,964
  6. Step 6: Final answer
    x = 8,986,757.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.