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Finding the Third Proportional to 488,079.13 and 999,941.63

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Solution

The third proportional to 488,079.13 and 999,941.63 is: 2,048,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,079.13 : 999,941.63 = 999,941.63 : x
  2. Step 2: Convert to fraction form
    488,079.13/999,941.63 = 999,941.63/x
  3. Step 3: Cross multiply
    488,079.13x = 999,941.63 × 999,941.63
  4. Step 4: Simplify right side
    488,079.13x = 999,883,253,407.64
  5. Step 5: Solve for x
    x = 999,883,253,407.64/488,079.13
  6. Step 6: Final answer
    x = 2,048,608.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.