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Finding the Third Proportional to 483,581 and 1,038,526

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Solution

The third proportional to 483,581 and 1,038,526 is: 2,230,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,581 : 1,038,526 = 1,038,526 : x
  2. Step 2: Convert to fraction form
    483,581/1,038,526 = 1,038,526/x
  3. Step 3: Cross multiply
    483,581x = 1,038,526 × 1,038,526
  4. Step 4: Simplify right side
    483,581x = 1,078,536,252,676
  5. Step 5: Solve for x
    x = 1,078,536,252,676/483,581
  6. Step 6: Final answer
    x = 2,230,311.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.