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Finding the Third Proportional to 813,894.75 and 1,197,315

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Solution

The third proportional to 813,894.75 and 1,197,315 is: 1,761,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,894.75 : 1,197,315 = 1,197,315 : x
  2. Step 2: Convert to fraction form
    813,894.75/1,197,315 = 1,197,315/x
  3. Step 3: Cross multiply
    813,894.75x = 1,197,315 × 1,197,315
  4. Step 4: Simplify right side
    813,894.75x = 1,433,563,209,225
  5. Step 5: Solve for x
    x = 1,433,563,209,225/813,894.75
  6. Step 6: Final answer
    x = 1,761,361.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.