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Finding the Third Proportional to 692,963 and 1,036,619

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Solution

The third proportional to 692,963 and 1,036,619 is: 1,550,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,963 : 1,036,619 = 1,036,619 : x
  2. Step 2: Convert to fraction form
    692,963/1,036,619 = 1,036,619/x
  3. Step 3: Cross multiply
    692,963x = 1,036,619 × 1,036,619
  4. Step 4: Simplify right side
    692,963x = 1,074,578,951,161
  5. Step 5: Solve for x
    x = 1,074,578,951,161/692,963
  6. Step 6: Final answer
    x = 1,550,701.77

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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.