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Finding the Third Proportional to 1,500,385 and 3,285,364

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Solution

The third proportional to 1,500,385 and 3,285,364 is: 7,193,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,385 : 3,285,364 = 3,285,364 : x
  2. Step 2: Convert to fraction form
    1,500,385/3,285,364 = 3,285,364/x
  3. Step 3: Cross multiply
    1,500,385x = 3,285,364 × 3,285,364
  4. Step 4: Simplify right side
    1,500,385x = 10,793,616,612,496
  5. Step 5: Solve for x
    x = 10,793,616,612,496/1,500,385
  6. Step 6: Final answer
    x = 7,193,897.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.