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Finding the Third Proportional to 1,028,553.19 and 1,539,104.63

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Solution

The third proportional to 1,028,553.19 and 1,539,104.63 is: 2,303,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,553.19 : 1,539,104.63 = 1,539,104.63 : x
  2. Step 2: Convert to fraction form
    1,028,553.19/1,539,104.63 = 1,539,104.63/x
  3. Step 3: Cross multiply
    1,028,553.19x = 1,539,104.63 × 1,539,104.63
  4. Step 4: Simplify right side
    1,028,553.19x = 2,368,843,046,696.39
  5. Step 5: Solve for x
    x = 2,368,843,046,696.39/1,028,553.19
  6. Step 6: Final answer
    x = 2,303,082.69

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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.