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Finding the Third Proportional to 971,256 and 1,470,408

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Solution

The third proportional to 971,256 and 1,470,408 is: 2,226,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,256 : 1,470,408 = 1,470,408 : x
  2. Step 2: Convert to fraction form
    971,256/1,470,408 = 1,470,408/x
  3. Step 3: Cross multiply
    971,256x = 1,470,408 × 1,470,408
  4. Step 4: Simplify right side
    971,256x = 2,162,099,686,464
  5. Step 5: Solve for x
    x = 2,162,099,686,464/971,256
  6. Step 6: Final answer
    x = 2,226,086.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.