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Finding the Third Proportional to 483,698 and 1,124,315

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Solution

The third proportional to 483,698 and 1,124,315 is: 2,613,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,698 : 1,124,315 = 1,124,315 : x
  2. Step 2: Convert to fraction form
    483,698/1,124,315 = 1,124,315/x
  3. Step 3: Cross multiply
    483,698x = 1,124,315 × 1,124,315
  4. Step 4: Simplify right side
    483,698x = 1,264,084,219,225
  5. Step 5: Solve for x
    x = 1,264,084,219,225/483,698
  6. Step 6: Final answer
    x = 2,613,374.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.