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Finding the Third Proportional to 1,929,240 and 2,838,096

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Solution

The third proportional to 1,929,240 and 2,838,096 is: 4,175,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,240 : 2,838,096 = 2,838,096 : x
  2. Step 2: Convert to fraction form
    1,929,240/2,838,096 = 2,838,096/x
  3. Step 3: Cross multiply
    1,929,240x = 2,838,096 × 2,838,096
  4. Step 4: Simplify right side
    1,929,240x = 8,054,788,905,216
  5. Step 5: Solve for x
    x = 8,054,788,905,216/1,929,240
  6. Step 6: Final answer
    x = 4,175,109.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.