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Finding the Third Proportional to 783,594 and 1,163,871

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Solution

The third proportional to 783,594 and 1,163,871 is: 1,728,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,594 : 1,163,871 = 1,163,871 : x
  2. Step 2: Convert to fraction form
    783,594/1,163,871 = 1,163,871/x
  3. Step 3: Cross multiply
    783,594x = 1,163,871 × 1,163,871
  4. Step 4: Simplify right side
    783,594x = 1,354,595,704,641
  5. Step 5: Solve for x
    x = 1,354,595,704,641/783,594
  6. Step 6: Final answer
    x = 1,728,695.86

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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.