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Finding the Third Proportional to 1,366,407 and 1,946,475

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Solution

The third proportional to 1,366,407 and 1,946,475 is: 2,772,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,407 : 1,946,475 = 1,946,475 : x
  2. Step 2: Convert to fraction form
    1,366,407/1,946,475 = 1,946,475/x
  3. Step 3: Cross multiply
    1,366,407x = 1,946,475 × 1,946,475
  4. Step 4: Simplify right side
    1,366,407x = 3,788,764,925,625
  5. Step 5: Solve for x
    x = 3,788,764,925,625/1,366,407
  6. Step 6: Final answer
    x = 2,772,793.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.