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Finding the Third Proportional to 881,582 and 1,309,406

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Solution

The third proportional to 881,582 and 1,309,406 is: 1,944,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,582 : 1,309,406 = 1,309,406 : x
  2. Step 2: Convert to fraction form
    881,582/1,309,406 = 1,309,406/x
  3. Step 3: Cross multiply
    881,582x = 1,309,406 × 1,309,406
  4. Step 4: Simplify right side
    881,582x = 1,714,544,072,836
  5. Step 5: Solve for x
    x = 1,714,544,072,836/881,582
  6. Step 6: Final answer
    x = 1,944,849.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.