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Finding the Third Proportional to 4,874,295 and 6,814,221

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Solution

The third proportional to 4,874,295 and 6,814,221 is: 9,526,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874,295 : 6,814,221 = 6,814,221 : x
  2. Step 2: Convert to fraction form
    4,874,295/6,814,221 = 6,814,221/x
  3. Step 3: Cross multiply
    4,874,295x = 6,814,221 × 6,814,221
  4. Step 4: Simplify right side
    4,874,295x = 46,433,607,836,841
  5. Step 5: Solve for x
    x = 46,433,607,836,841/4,874,295
  6. Step 6: Final answer
    x = 9,526,220.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.