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Finding the Third Proportional to 2,101,464 and 3,328,128

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Solution

The third proportional to 2,101,464 and 3,328,128 is: 5,270,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,464 : 3,328,128 = 3,328,128 : x
  2. Step 2: Convert to fraction form
    2,101,464/3,328,128 = 3,328,128/x
  3. Step 3: Cross multiply
    2,101,464x = 3,328,128 × 3,328,128
  4. Step 4: Simplify right side
    2,101,464x = 11,076,435,984,384
  5. Step 5: Solve for x
    x = 11,076,435,984,384/2,101,464
  6. Step 6: Final answer
    x = 5,270,818.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.