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Finding the Third Proportional to 1,540,128 and 3,377,856

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Solution

The third proportional to 1,540,128 and 3,377,856 is: 7,408,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,128 : 3,377,856 = 3,377,856 : x
  2. Step 2: Convert to fraction form
    1,540,128/3,377,856 = 3,377,856/x
  3. Step 3: Cross multiply
    1,540,128x = 3,377,856 × 3,377,856
  4. Step 4: Simplify right side
    1,540,128x = 11,409,911,156,736
  5. Step 5: Solve for x
    x = 11,409,911,156,736/1,540,128
  6. Step 6: Final answer
    x = 7,408,417.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.