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Finding the Third Proportional to 488,107.13 and 1,051,225.31

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Solution

The third proportional to 488,107.13 and 1,051,225.31 is: 2,264,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,107.13 : 1,051,225.31 = 1,051,225.31 : x
  2. Step 2: Convert to fraction form
    488,107.13/1,051,225.31 = 1,051,225.31/x
  3. Step 3: Cross multiply
    488,107.13x = 1,051,225.31 × 1,051,225.31
  4. Step 4: Simplify right side
    488,107.13x = 1,105,074,657,640.72
  5. Step 5: Solve for x
    x = 1,105,074,657,640.72/488,107.13
  6. Step 6: Final answer
    x = 2,264,000.26

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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.