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Finding the Third Proportional to 864,513 and 1,389,033

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Solution

The third proportional to 864,513 and 1,389,033 is: 2,231,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,513 : 1,389,033 = 1,389,033 : x
  2. Step 2: Convert to fraction form
    864,513/1,389,033 = 1,389,033/x
  3. Step 3: Cross multiply
    864,513x = 1,389,033 × 1,389,033
  4. Step 4: Simplify right side
    864,513x = 1,929,412,675,089
  5. Step 5: Solve for x
    x = 1,929,412,675,089/864,513
  6. Step 6: Final answer
    x = 2,231,791.40

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.