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Finding the Third Proportional to 1,285,482.38 and 1,880,904.38

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Solution

The third proportional to 1,285,482.38 and 1,880,904.38 is: 2,752,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,482.38 : 1,880,904.38 = 1,880,904.38 : x
  2. Step 2: Convert to fraction form
    1,285,482.38/1,880,904.38 = 1,880,904.38/x
  3. Step 3: Cross multiply
    1,285,482.38x = 1,880,904.38 × 1,880,904.38
  4. Step 4: Simplify right side
    1,285,482.38x = 3,537,801,267,894.14
  5. Step 5: Solve for x
    x = 3,537,801,267,894.14/1,285,482.38
  6. Step 6: Final answer
    x = 2,752,119.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.