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Finding the Third Proportional to 1,666,491 and 3,581,583

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Solution

The third proportional to 1,666,491 and 3,581,583 is: 7,697,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,491 : 3,581,583 = 3,581,583 : x
  2. Step 2: Convert to fraction form
    1,666,491/3,581,583 = 3,581,583/x
  3. Step 3: Cross multiply
    1,666,491x = 3,581,583 × 3,581,583
  4. Step 4: Simplify right side
    1,666,491x = 12,827,736,785,889
  5. Step 5: Solve for x
    x = 12,827,736,785,889/1,666,491
  6. Step 6: Final answer
    x = 7,697,453.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.