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Finding the Third Proportional to 901,658 and 1,349,661

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Solution

The third proportional to 901,658 and 1,349,661 is: 2,020,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,658 : 1,349,661 = 1,349,661 : x
  2. Step 2: Convert to fraction form
    901,658/1,349,661 = 1,349,661/x
  3. Step 3: Cross multiply
    901,658x = 1,349,661 × 1,349,661
  4. Step 4: Simplify right side
    901,658x = 1,821,584,814,921
  5. Step 5: Solve for x
    x = 1,821,584,814,921/901,658
  6. Step 6: Final answer
    x = 2,020,261.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.