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Finding the Third Proportional to 641,064 and 1,371,066

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Solution

The third proportional to 641,064 and 1,371,066 is: 2,932,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,064 : 1,371,066 = 1,371,066 : x
  2. Step 2: Convert to fraction form
    641,064/1,371,066 = 1,371,066/x
  3. Step 3: Cross multiply
    641,064x = 1,371,066 × 1,371,066
  4. Step 4: Simplify right side
    641,064x = 1,879,821,976,356
  5. Step 5: Solve for x
    x = 1,879,821,976,356/641,064
  6. Step 6: Final answer
    x = 2,932,346.81

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