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Finding the Third Proportional to 858,051 and 1,310,166

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Solution

The third proportional to 858,051 and 1,310,166 is: 2,000,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,051 : 1,310,166 = 1,310,166 : x
  2. Step 2: Convert to fraction form
    858,051/1,310,166 = 1,310,166/x
  3. Step 3: Cross multiply
    858,051x = 1,310,166 × 1,310,166
  4. Step 4: Simplify right side
    858,051x = 1,716,534,947,556
  5. Step 5: Solve for x
    x = 1,716,534,947,556/858,051
  6. Step 6: Final answer
    x = 2,000,504.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.