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Finding the Third Proportional to 581,630 and 1,216,236

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Solution

The third proportional to 581,630 and 1,216,236 is: 2,543,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,630 : 1,216,236 = 1,216,236 : x
  2. Step 2: Convert to fraction form
    581,630/1,216,236 = 1,216,236/x
  3. Step 3: Cross multiply
    581,630x = 1,216,236 × 1,216,236
  4. Step 4: Simplify right side
    581,630x = 1,479,230,007,696
  5. Step 5: Solve for x
    x = 1,479,230,007,696/581,630
  6. Step 6: Final answer
    x = 2,543,249.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.