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Finding the Third Proportional to 783,934 and 1,710,562

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Solution

The third proportional to 783,934 and 1,710,562 is: 3,732,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,934 : 1,710,562 = 1,710,562 : x
  2. Step 2: Convert to fraction form
    783,934/1,710,562 = 1,710,562/x
  3. Step 3: Cross multiply
    783,934x = 1,710,562 × 1,710,562
  4. Step 4: Simplify right side
    783,934x = 2,926,022,355,844
  5. Step 5: Solve for x
    x = 2,926,022,355,844/783,934
  6. Step 6: Final answer
    x = 3,732,485.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.