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Finding the Third Proportional to 785,298 and 1,222,875

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Solution

The third proportional to 785,298 and 1,222,875 is: 1,904,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,298 : 1,222,875 = 1,222,875 : x
  2. Step 2: Convert to fraction form
    785,298/1,222,875 = 1,222,875/x
  3. Step 3: Cross multiply
    785,298x = 1,222,875 × 1,222,875
  4. Step 4: Simplify right side
    785,298x = 1,495,423,265,625
  5. Step 5: Solve for x
    x = 1,495,423,265,625/785,298
  6. Step 6: Final answer
    x = 1,904,274.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.