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Finding the Third Proportional to 780,374.25 and 1,702,561.15

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Solution

The third proportional to 780,374.25 and 1,702,561.15 is: 3,714,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,374.25 : 1,702,561.15 = 1,702,561.15 : x
  2. Step 2: Convert to fraction form
    780,374.25/1,702,561.15 = 1,702,561.15/x
  3. Step 3: Cross multiply
    780,374.25x = 1,702,561.15 × 1,702,561.15
  4. Step 4: Simplify right side
    780,374.25x = 2,898,714,464,168.82
  5. Step 5: Solve for x
    x = 2,898,714,464,168.82/780,374.25
  6. Step 6: Final answer
    x = 3,714,518.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.