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Finding the Third Proportional to 1,071,240 and 1,421,694

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Solution

The third proportional to 1,071,240 and 1,421,694 is: 1,886,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,240 : 1,421,694 = 1,421,694 : x
  2. Step 2: Convert to fraction form
    1,071,240/1,421,694 = 1,421,694/x
  3. Step 3: Cross multiply
    1,071,240x = 1,421,694 × 1,421,694
  4. Step 4: Simplify right side
    1,071,240x = 2,021,213,829,636
  5. Step 5: Solve for x
    x = 2,021,213,829,636/1,071,240
  6. Step 6: Final answer
    x = 1,886,798.32

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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.