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Finding the Third Proportional to 698,810 and 1,054,011

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Solution

The third proportional to 698,810 and 1,054,011 is: 1,589,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,810 : 1,054,011 = 1,054,011 : x
  2. Step 2: Convert to fraction form
    698,810/1,054,011 = 1,054,011/x
  3. Step 3: Cross multiply
    698,810x = 1,054,011 × 1,054,011
  4. Step 4: Simplify right side
    698,810x = 1,110,939,188,121
  5. Step 5: Solve for x
    x = 1,110,939,188,121/698,810
  6. Step 6: Final answer
    x = 1,589,758.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.