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Finding the Third Proportional to 913,907 and 1,277,632

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Solution

The third proportional to 913,907 and 1,277,632 is: 1,786,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,907 : 1,277,632 = 1,277,632 : x
  2. Step 2: Convert to fraction form
    913,907/1,277,632 = 1,277,632/x
  3. Step 3: Cross multiply
    913,907x = 1,277,632 × 1,277,632
  4. Step 4: Simplify right side
    913,907x = 1,632,343,527,424
  5. Step 5: Solve for x
    x = 1,632,343,527,424/913,907
  6. Step 6: Final answer
    x = 1,786,115.58

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.