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Finding the Third Proportional to 807,680 and 1,699,066

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Solution

The third proportional to 807,680 and 1,699,066 is: 3,574,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,680 : 1,699,066 = 1,699,066 : x
  2. Step 2: Convert to fraction form
    807,680/1,699,066 = 1,699,066/x
  3. Step 3: Cross multiply
    807,680x = 1,699,066 × 1,699,066
  4. Step 4: Simplify right side
    807,680x = 2,886,825,272,356
  5. Step 5: Solve for x
    x = 2,886,825,272,356/807,680
  6. Step 6: Final answer
    x = 3,574,219.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.