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Finding the Third Proportional to 858,768 and 1,946,715

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Solution

The third proportional to 858,768 and 1,946,715 is: 4,412,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,768 : 1,946,715 = 1,946,715 : x
  2. Step 2: Convert to fraction form
    858,768/1,946,715 = 1,946,715/x
  3. Step 3: Cross multiply
    858,768x = 1,946,715 × 1,946,715
  4. Step 4: Simplify right side
    858,768x = 3,789,699,291,225
  5. Step 5: Solve for x
    x = 3,789,699,291,225/858,768
  6. Step 6: Final answer
    x = 4,412,948.89

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.