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Finding the Third Proportional to 1,520,534 and 3,292,024

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Solution

The third proportional to 1,520,534 and 3,292,024 is: 7,127,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,534 : 3,292,024 = 3,292,024 : x
  2. Step 2: Convert to fraction form
    1,520,534/3,292,024 = 3,292,024/x
  3. Step 3: Cross multiply
    1,520,534x = 3,292,024 × 3,292,024
  4. Step 4: Simplify right side
    1,520,534x = 10,837,422,016,576
  5. Step 5: Solve for x
    x = 10,837,422,016,576/1,520,534
  6. Step 6: Final answer
    x = 7,127,378.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.