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Finding the Third Proportional to 1,880,551.69 and 2,825,064.84

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Solution

The third proportional to 1,880,551.69 and 2,825,064.84 is: 4,243,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880,551.69 : 2,825,064.84 = 2,825,064.84 : x
  2. Step 2: Convert to fraction form
    1,880,551.69/2,825,064.84 = 2,825,064.84/x
  3. Step 3: Cross multiply
    1,880,551.69x = 2,825,064.84 × 2,825,064.84
  4. Step 4: Simplify right side
    1,880,551.69x = 7,980,991,371,392.21
  5. Step 5: Solve for x
    x = 7,980,991,371,392.21/1,880,551.69
  6. Step 6: Final answer
    x = 4,243,962.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.