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Finding the Third Proportional to 917,719.88 and 1,477,455.19

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Solution

The third proportional to 917,719.88 and 1,477,455.19 is: 2,378,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,719.88 : 1,477,455.19 = 1,477,455.19 : x
  2. Step 2: Convert to fraction form
    917,719.88/1,477,455.19 = 1,477,455.19/x
  3. Step 3: Cross multiply
    917,719.88x = 1,477,455.19 × 1,477,455.19
  4. Step 4: Simplify right side
    917,719.88x = 2,182,873,831,070.66
  5. Step 5: Solve for x
    x = 2,182,873,831,070.66/917,719.88
  6. Step 6: Final answer
    x = 2,378,584.02

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.