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Finding the Third Proportional to 3,482,967.94 and 5,122,077.19

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Solution

The third proportional to 3,482,967.94 and 5,122,077.19 is: 7,532,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482,967.94 : 5,122,077.19 = 5,122,077.19 : x
  2. Step 2: Convert to fraction form
    3,482,967.94/5,122,077.19 = 5,122,077.19/x
  3. Step 3: Cross multiply
    3,482,967.94x = 5,122,077.19 × 5,122,077.19
  4. Step 4: Simplify right side
    3,482,967.94x = 26,235,674,714,707.91
  5. Step 5: Solve for x
    x = 26,235,674,714,707.91/3,482,967.94
  6. Step 6: Final answer
    x = 7,532,562.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.