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Finding the Third Proportional to 900,396 and 1,373,463

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Solution

The third proportional to 900,396 and 1,373,463 is: 2,095,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,396 : 1,373,463 = 1,373,463 : x
  2. Step 2: Convert to fraction form
    900,396/1,373,463 = 1,373,463/x
  3. Step 3: Cross multiply
    900,396x = 1,373,463 × 1,373,463
  4. Step 4: Simplify right side
    900,396x = 1,886,400,612,369
  5. Step 5: Solve for x
    x = 1,886,400,612,369/900,396
  6. Step 6: Final answer
    x = 2,095,078.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.