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Finding the Third Proportional to 1,353,864 and 2,973,464

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Solution

The third proportional to 1,353,864 and 2,973,464 is: 6,530,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,864 : 2,973,464 = 2,973,464 : x
  2. Step 2: Convert to fraction form
    1,353,864/2,973,464 = 2,973,464/x
  3. Step 3: Cross multiply
    1,353,864x = 2,973,464 × 2,973,464
  4. Step 4: Simplify right side
    1,353,864x = 8,841,488,159,296
  5. Step 5: Solve for x
    x = 8,841,488,159,296/1,353,864
  6. Step 6: Final answer
    x = 6,530,558.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.