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Finding the Third Proportional to 804,784 and 1,207,272

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Solution

The third proportional to 804,784 and 1,207,272 is: 1,811,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,784 : 1,207,272 = 1,207,272 : x
  2. Step 2: Convert to fraction form
    804,784/1,207,272 = 1,207,272/x
  3. Step 3: Cross multiply
    804,784x = 1,207,272 × 1,207,272
  4. Step 4: Simplify right side
    804,784x = 1,457,505,681,984
  5. Step 5: Solve for x
    x = 1,457,505,681,984/804,784
  6. Step 6: Final answer
    x = 1,811,052.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.