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Finding the Third Proportional to 698,656 and 1,423,004

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Solution

The third proportional to 698,656 and 1,423,004 is: 2,898,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,656 : 1,423,004 = 1,423,004 : x
  2. Step 2: Convert to fraction form
    698,656/1,423,004 = 1,423,004/x
  3. Step 3: Cross multiply
    698,656x = 1,423,004 × 1,423,004
  4. Step 4: Simplify right side
    698,656x = 2,024,940,384,016
  5. Step 5: Solve for x
    x = 2,024,940,384,016/698,656
  6. Step 6: Final answer
    x = 2,898,336.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.