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Finding the Third Proportional to 783,598 and 1,163,877

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Solution

The third proportional to 783,598 and 1,163,877 is: 1,728,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,598 : 1,163,877 = 1,163,877 : x
  2. Step 2: Convert to fraction form
    783,598/1,163,877 = 1,163,877/x
  3. Step 3: Cross multiply
    783,598x = 1,163,877 × 1,163,877
  4. Step 4: Simplify right side
    783,598x = 1,354,609,671,129
  5. Step 5: Solve for x
    x = 1,354,609,671,129/783,598
  6. Step 6: Final answer
    x = 1,728,704.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.