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Finding the Third Proportional to 4,425,262 and 6,834,420

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Solution

The third proportional to 4,425,262 and 6,834,420 is: 10,555,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425,262 : 6,834,420 = 6,834,420 : x
  2. Step 2: Convert to fraction form
    4,425,262/6,834,420 = 6,834,420/x
  3. Step 3: Cross multiply
    4,425,262x = 6,834,420 × 6,834,420
  4. Step 4: Simplify right side
    4,425,262x = 46,709,296,736,400
  5. Step 5: Solve for x
    x = 46,709,296,736,400/4,425,262
  6. Step 6: Final answer
    x = 10,555,148.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.