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Finding the Third Proportional to 2,129,216 and 3,386,160

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Solution

The third proportional to 2,129,216 and 3,386,160 is: 5,385,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,216 : 3,386,160 = 3,386,160 : x
  2. Step 2: Convert to fraction form
    2,129,216/3,386,160 = 3,386,160/x
  3. Step 3: Cross multiply
    2,129,216x = 3,386,160 × 3,386,160
  4. Step 4: Simplify right side
    2,129,216x = 11,466,079,545,600
  5. Step 5: Solve for x
    x = 11,466,079,545,600/2,129,216
  6. Step 6: Final answer
    x = 5,385,118.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.