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Finding the Third Proportional to 637,805 and 1,377,071

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Solution

The third proportional to 637,805 and 1,377,071 is: 2,973,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,805 : 1,377,071 = 1,377,071 : x
  2. Step 2: Convert to fraction form
    637,805/1,377,071 = 1,377,071/x
  3. Step 3: Cross multiply
    637,805x = 1,377,071 × 1,377,071
  4. Step 4: Simplify right side
    637,805x = 1,896,324,539,041
  5. Step 5: Solve for x
    x = 1,896,324,539,041/637,805
  6. Step 6: Final answer
    x = 2,973,204.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.