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Finding the Third Proportional to 783,364 and 1,056,942

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Solution

The third proportional to 783,364 and 1,056,942 is: 1,426,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,364 : 1,056,942 = 1,056,942 : x
  2. Step 2: Convert to fraction form
    783,364/1,056,942 = 1,056,942/x
  3. Step 3: Cross multiply
    783,364x = 1,056,942 × 1,056,942
  4. Step 4: Simplify right side
    783,364x = 1,117,126,391,364
  5. Step 5: Solve for x
    x = 1,117,126,391,364/783,364
  6. Step 6: Final answer
    x = 1,426,062.97

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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.