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Finding the Third Proportional to 1,525,288 and 2,024,034

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Solution

The third proportional to 1,525,288 and 2,024,034 is: 2,685,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,288 : 2,024,034 = 2,024,034 : x
  2. Step 2: Convert to fraction form
    1,525,288/2,024,034 = 2,024,034/x
  3. Step 3: Cross multiply
    1,525,288x = 2,024,034 × 2,024,034
  4. Step 4: Simplify right side
    1,525,288x = 4,096,713,633,156
  5. Step 5: Solve for x
    x = 4,096,713,633,156/1,525,288
  6. Step 6: Final answer
    x = 2,685,862.36

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.