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Finding the Third Proportional to 1,014,608 and 2,142,328

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Solution

The third proportional to 1,014,608 and 2,142,328 is: 4,523,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,608 : 2,142,328 = 2,142,328 : x
  2. Step 2: Convert to fraction form
    1,014,608/2,142,328 = 2,142,328/x
  3. Step 3: Cross multiply
    1,014,608x = 2,142,328 × 2,142,328
  4. Step 4: Simplify right side
    1,014,608x = 4,589,569,259,584
  5. Step 5: Solve for x
    x = 4,589,569,259,584/1,014,608
  6. Step 6: Final answer
    x = 4,523,490.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.