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Finding the Third Proportional to 783,357 and 1,056,933

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Solution

The third proportional to 783,357 and 1,056,933 is: 1,426,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,357 : 1,056,933 = 1,056,933 : x
  2. Step 2: Convert to fraction form
    783,357/1,056,933 = 1,056,933/x
  3. Step 3: Cross multiply
    783,357x = 1,056,933 × 1,056,933
  4. Step 4: Simplify right side
    783,357x = 1,117,107,366,489
  5. Step 5: Solve for x
    x = 1,117,107,366,489/783,357
  6. Step 6: Final answer
    x = 1,426,051.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.