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Finding the Third Proportional to 824,012 and 1,984,437

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Solution

The third proportional to 824,012 and 1,984,437 is: 4,779,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,012 : 1,984,437 = 1,984,437 : x
  2. Step 2: Convert to fraction form
    824,012/1,984,437 = 1,984,437/x
  3. Step 3: Cross multiply
    824,012x = 1,984,437 × 1,984,437
  4. Step 4: Simplify right side
    824,012x = 3,937,990,206,969
  5. Step 5: Solve for x
    x = 3,937,990,206,969/824,012
  6. Step 6: Final answer
    x = 4,779,044.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.