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Finding the Third Proportional to 783,384 and 1,056,972

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Solution

The third proportional to 783,384 and 1,056,972 is: 1,426,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,384 : 1,056,972 = 1,056,972 : x
  2. Step 2: Convert to fraction form
    783,384/1,056,972 = 1,056,972/x
  3. Step 3: Cross multiply
    783,384x = 1,056,972 × 1,056,972
  4. Step 4: Simplify right side
    783,384x = 1,117,189,808,784
  5. Step 5: Solve for x
    x = 1,117,189,808,784/783,384
  6. Step 6: Final answer
    x = 1,426,107.51

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