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Finding the Third Proportional to 637,875 and 1,304,910

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Solution

The third proportional to 637,875 and 1,304,910 is: 2,669,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,875 : 1,304,910 = 1,304,910 : x
  2. Step 2: Convert to fraction form
    637,875/1,304,910 = 1,304,910/x
  3. Step 3: Cross multiply
    637,875x = 1,304,910 × 1,304,910
  4. Step 4: Simplify right side
    637,875x = 1,702,790,108,100
  5. Step 5: Solve for x
    x = 1,702,790,108,100/637,875
  6. Step 6: Final answer
    x = 2,669,473.03

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.