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Finding the Third Proportional to 916,677.63 and 1,451,194.10

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Solution

The third proportional to 916,677.63 and 1,451,194.10 is: 2,297,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,677.63 : 1,451,194.10 = 1,451,194.10 : x
  2. Step 2: Convert to fraction form
    916,677.63/1,451,194.10 = 1,451,194.10/x
  3. Step 3: Cross multiply
    916,677.63x = 1,451,194.10 × 1,451,194.10
  4. Step 4: Simplify right side
    916,677.63x = 2,105,964,320,409.79
  5. Step 5: Solve for x
    x = 2,105,964,320,409.79/916,677.63
  6. Step 6: Final answer
    x = 2,297,388.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.