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Finding the Third Proportional to 698,659 and 1,423,010

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Solution

The third proportional to 698,659 and 1,423,010 is: 2,898,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,659 : 1,423,010 = 1,423,010 : x
  2. Step 2: Convert to fraction form
    698,659/1,423,010 = 1,423,010/x
  3. Step 3: Cross multiply
    698,659x = 1,423,010 × 1,423,010
  4. Step 4: Simplify right side
    698,659x = 2,024,957,460,100
  5. Step 5: Solve for x
    x = 2,024,957,460,100/698,659
  6. Step 6: Final answer
    x = 2,898,348.78

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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.