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Finding the Third Proportional to 1,082,039 and 1,688,564

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Solution

The third proportional to 1,082,039 and 1,688,564 is: 2,635,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,039 : 1,688,564 = 1,688,564 : x
  2. Step 2: Convert to fraction form
    1,082,039/1,688,564 = 1,688,564/x
  3. Step 3: Cross multiply
    1,082,039x = 1,688,564 × 1,688,564
  4. Step 4: Simplify right side
    1,082,039x = 2,851,248,382,096
  5. Step 5: Solve for x
    x = 2,851,248,382,096/1,082,039
  6. Step 6: Final answer
    x = 2,635,069.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.