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Finding the Third Proportional to 1,268,471 and 1,739,410

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Solution

The third proportional to 1,268,471 and 1,739,410 is: 2,385,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,471 : 1,739,410 = 1,739,410 : x
  2. Step 2: Convert to fraction form
    1,268,471/1,739,410 = 1,739,410/x
  3. Step 3: Cross multiply
    1,268,471x = 1,739,410 × 1,739,410
  4. Step 4: Simplify right side
    1,268,471x = 3,025,547,148,100
  5. Step 5: Solve for x
    x = 3,025,547,148,100/1,268,471
  6. Step 6: Final answer
    x = 2,385,192.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.