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Finding the Third Proportional to 1,072,434 and 1,500,024

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Solution

The third proportional to 1,072,434 and 1,500,024 is: 2,098,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,434 : 1,500,024 = 1,500,024 : x
  2. Step 2: Convert to fraction form
    1,072,434/1,500,024 = 1,500,024/x
  3. Step 3: Cross multiply
    1,072,434x = 1,500,024 × 1,500,024
  4. Step 4: Simplify right side
    1,072,434x = 2,250,072,000,576
  5. Step 5: Solve for x
    x = 2,250,072,000,576/1,072,434
  6. Step 6: Final answer
    x = 2,098,098.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.