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Finding the Third Proportional to 948,320 and 1,386,477

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Solution

The third proportional to 948,320 and 1,386,477 is: 2,027,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,320 : 1,386,477 = 1,386,477 : x
  2. Step 2: Convert to fraction form
    948,320/1,386,477 = 1,386,477/x
  3. Step 3: Cross multiply
    948,320x = 1,386,477 × 1,386,477
  4. Step 4: Simplify right side
    948,320x = 1,922,318,471,529
  5. Step 5: Solve for x
    x = 1,922,318,471,529/948,320
  6. Step 6: Final answer
    x = 2,027,077.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.