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Finding the Third Proportional to 901,408 and 1,349,304

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Solution

The third proportional to 901,408 and 1,349,304 is: 2,019,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,408 : 1,349,304 = 1,349,304 : x
  2. Step 2: Convert to fraction form
    901,408/1,349,304 = 1,349,304/x
  3. Step 3: Cross multiply
    901,408x = 1,349,304 × 1,349,304
  4. Step 4: Simplify right side
    901,408x = 1,820,621,284,416
  5. Step 5: Solve for x
    x = 1,820,621,284,416/901,408
  6. Step 6: Final answer
    x = 2,019,752.75

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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.