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Finding the Third Proportional to 864,324 and 1,367,520

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Solution

The third proportional to 864,324 and 1,367,520 is: 2,163,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,324 : 1,367,520 = 1,367,520 : x
  2. Step 2: Convert to fraction form
    864,324/1,367,520 = 1,367,520/x
  3. Step 3: Cross multiply
    864,324x = 1,367,520 × 1,367,520
  4. Step 4: Simplify right side
    864,324x = 1,870,110,950,400
  5. Step 5: Solve for x
    x = 1,870,110,950,400/864,324
  6. Step 6: Final answer
    x = 2,163,668.89

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.