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Finding the Third Proportional to 500,166 and 1,071,774

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Solution

The third proportional to 500,166 and 1,071,774 is: 2,296,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,166 : 1,071,774 = 1,071,774 : x
  2. Step 2: Convert to fraction form
    500,166/1,071,774 = 1,071,774/x
  3. Step 3: Cross multiply
    500,166x = 1,071,774 × 1,071,774
  4. Step 4: Simplify right side
    500,166x = 1,148,699,507,076
  5. Step 5: Solve for x
    x = 1,148,699,507,076/500,166
  6. Step 6: Final answer
    x = 2,296,636.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.