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Finding the Third Proportional to 674,441 and 1,411,239

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Solution

The third proportional to 674,441 and 1,411,239 is: 2,952,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,441 : 1,411,239 = 1,411,239 : x
  2. Step 2: Convert to fraction form
    674,441/1,411,239 = 1,411,239/x
  3. Step 3: Cross multiply
    674,441x = 1,411,239 × 1,411,239
  4. Step 4: Simplify right side
    674,441x = 1,991,595,515,121
  5. Step 5: Solve for x
    x = 1,991,595,515,121/674,441
  6. Step 6: Final answer
    x = 2,952,957.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.