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Finding the Third Proportional to 637,765 and 1,387,623

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Solution

The third proportional to 637,765 and 1,387,623 is: 3,019,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,765 : 1,387,623 = 1,387,623 : x
  2. Step 2: Convert to fraction form
    637,765/1,387,623 = 1,387,623/x
  3. Step 3: Cross multiply
    637,765x = 1,387,623 × 1,387,623
  4. Step 4: Simplify right side
    637,765x = 1,925,497,590,129
  5. Step 5: Solve for x
    x = 1,925,497,590,129/637,765
  6. Step 6: Final answer
    x = 3,019,133.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.