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Finding the Third Proportional to 804,816 and 1,207,322

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Solution

The third proportional to 804,816 and 1,207,322 is: 1,811,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,816 : 1,207,322 = 1,207,322 : x
  2. Step 2: Convert to fraction form
    804,816/1,207,322 = 1,207,322/x
  3. Step 3: Cross multiply
    804,816x = 1,207,322 × 1,207,322
  4. Step 4: Simplify right side
    804,816x = 1,457,626,411,684
  5. Step 5: Solve for x
    x = 1,457,626,411,684/804,816
  6. Step 6: Final answer
    x = 1,811,130.01

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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.