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Finding the Third Proportional to 637,461 and 1,373,283

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Solution

The third proportional to 637,461 and 1,373,283 is: 2,958,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,461 : 1,373,283 = 1,373,283 : x
  2. Step 2: Convert to fraction form
    637,461/1,373,283 = 1,373,283/x
  3. Step 3: Cross multiply
    637,461x = 1,373,283 × 1,373,283
  4. Step 4: Simplify right side
    637,461x = 1,885,906,198,089
  5. Step 5: Solve for x
    x = 1,885,906,198,089/637,461
  6. Step 6: Final answer
    x = 2,958,465.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.