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Finding the Third Proportional to 864,216 and 1,352,612

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Solution

The third proportional to 864,216 and 1,352,612 is: 2,117,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,216 : 1,352,612 = 1,352,612 : x
  2. Step 2: Convert to fraction form
    864,216/1,352,612 = 1,352,612/x
  3. Step 3: Cross multiply
    864,216x = 1,352,612 × 1,352,612
  4. Step 4: Simplify right side
    864,216x = 1,829,559,222,544
  5. Step 5: Solve for x
    x = 1,829,559,222,544/864,216
  6. Step 6: Final answer
    x = 2,117,016.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.