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Finding the Third Proportional to 1,385,216 and 2,881,264

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Solution

The third proportional to 1,385,216 and 2,881,264 is: 5,993,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,216 : 2,881,264 = 2,881,264 : x
  2. Step 2: Convert to fraction form
    1,385,216/2,881,264 = 2,881,264/x
  3. Step 3: Cross multiply
    1,385,216x = 2,881,264 × 2,881,264
  4. Step 4: Simplify right side
    1,385,216x = 8,301,682,237,696
  5. Step 5: Solve for x
    x = 8,301,682,237,696/1,385,216
  6. Step 6: Final answer
    x = 5,993,059.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.