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Finding the Third Proportional to 581,624 and 1,216,224

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Solution

The third proportional to 581,624 and 1,216,224 is: 2,543,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,624 : 1,216,224 = 1,216,224 : x
  2. Step 2: Convert to fraction form
    581,624/1,216,224 = 1,216,224/x
  3. Step 3: Cross multiply
    581,624x = 1,216,224 × 1,216,224
  4. Step 4: Simplify right side
    581,624x = 1,479,200,818,176
  5. Step 5: Solve for x
    x = 1,479,200,818,176/581,624
  6. Step 6: Final answer
    x = 2,543,225.21

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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.