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Finding the Third Proportional to 823,574 and 1,778,368

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Solution

The third proportional to 823,574 and 1,778,368 is: 3,840,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,574 : 1,778,368 = 1,778,368 : x
  2. Step 2: Convert to fraction form
    823,574/1,778,368 = 1,778,368/x
  3. Step 3: Cross multiply
    823,574x = 1,778,368 × 1,778,368
  4. Step 4: Simplify right side
    823,574x = 3,162,592,743,424
  5. Step 5: Solve for x
    x = 3,162,592,743,424/823,574
  6. Step 6: Final answer
    x = 3,840,083.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.