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Finding the Third Proportional to 825,502 and 1,788,403

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Solution

The third proportional to 825,502 and 1,788,403 is: 3,874,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,502 : 1,788,403 = 1,788,403 : x
  2. Step 2: Convert to fraction form
    825,502/1,788,403 = 1,788,403/x
  3. Step 3: Cross multiply
    825,502x = 1,788,403 × 1,788,403
  4. Step 4: Simplify right side
    825,502x = 3,198,385,290,409
  5. Step 5: Solve for x
    x = 3,198,385,290,409/825,502
  6. Step 6: Final answer
    x = 3,874,473.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.