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Finding the Third Proportional to 1,253,570 and 1,909,747

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Solution

The third proportional to 1,253,570 and 1,909,747 is: 2,909,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,570 : 1,909,747 = 1,909,747 : x
  2. Step 2: Convert to fraction form
    1,253,570/1,909,747 = 1,909,747/x
  3. Step 3: Cross multiply
    1,253,570x = 1,909,747 × 1,909,747
  4. Step 4: Simplify right side
    1,253,570x = 3,647,133,604,009
  5. Step 5: Solve for x
    x = 3,647,133,604,009/1,253,570
  6. Step 6: Final answer
    x = 2,909,397.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.