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Finding the Third Proportional to 986,298 and 1,485,117

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Solution

The third proportional to 986,298 and 1,485,117 is: 2,236,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,298 : 1,485,117 = 1,485,117 : x
  2. Step 2: Convert to fraction form
    986,298/1,485,117 = 1,485,117/x
  3. Step 3: Cross multiply
    986,298x = 1,485,117 × 1,485,117
  4. Step 4: Simplify right side
    986,298x = 2,205,572,503,689
  5. Step 5: Solve for x
    x = 2,205,572,503,689/986,298
  6. Step 6: Final answer
    x = 2,236,213.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.