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Finding the Third Proportional to 1,357,648 and 2,681,024

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Solution

The third proportional to 1,357,648 and 2,681,024 is: 5,294,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,648 : 2,681,024 = 2,681,024 : x
  2. Step 2: Convert to fraction form
    1,357,648/2,681,024 = 2,681,024/x
  3. Step 3: Cross multiply
    1,357,648x = 2,681,024 × 2,681,024
  4. Step 4: Simplify right side
    1,357,648x = 7,187,889,688,576
  5. Step 5: Solve for x
    x = 7,187,889,688,576/1,357,648
  6. Step 6: Final answer
    x = 5,294,369.15

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.