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Finding the Third Proportional to 1,405,104.75 and 2,920,651.88

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Solution

The third proportional to 1,405,104.75 and 2,920,651.88 is: 6,070,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,104.75 : 2,920,651.88 = 2,920,651.88 : x
  2. Step 2: Convert to fraction form
    1,405,104.75/2,920,651.88 = 2,920,651.88/x
  3. Step 3: Cross multiply
    1,405,104.75x = 2,920,651.88 × 2,920,651.88
  4. Step 4: Simplify right side
    1,405,104.75x = 8,530,207,374,941.02
  5. Step 5: Solve for x
    x = 8,530,207,374,941.02/1,405,104.75
  6. Step 6: Final answer
    x = 6,070,869.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.