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Finding the Third Proportional to 864,326 and 1,367,523

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Solution

The third proportional to 864,326 and 1,367,523 is: 2,163,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,326 : 1,367,523 = 1,367,523 : x
  2. Step 2: Convert to fraction form
    864,326/1,367,523 = 1,367,523/x
  3. Step 3: Cross multiply
    864,326x = 1,367,523 × 1,367,523
  4. Step 4: Simplify right side
    864,326x = 1,870,119,155,529
  5. Step 5: Solve for x
    x = 1,870,119,155,529/864,326
  6. Step 6: Final answer
    x = 2,163,673.38

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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.