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Finding the Third Proportional to 1,583,794 and 3,466,904

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Solution

The third proportional to 1,583,794 and 3,466,904 is: 7,589,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,794 : 3,466,904 = 3,466,904 : x
  2. Step 2: Convert to fraction form
    1,583,794/3,466,904 = 3,466,904/x
  3. Step 3: Cross multiply
    1,583,794x = 3,466,904 × 3,466,904
  4. Step 4: Simplify right side
    1,583,794x = 12,019,423,345,216
  5. Step 5: Solve for x
    x = 12,019,423,345,216/1,583,794
  6. Step 6: Final answer
    x = 7,589,006.74

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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.