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Finding the Third Proportional to 1,194,596 and 1,849,674

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Solution

The third proportional to 1,194,596 and 1,849,674 is: 2,863,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,596 : 1,849,674 = 1,849,674 : x
  2. Step 2: Convert to fraction form
    1,194,596/1,849,674 = 1,849,674/x
  3. Step 3: Cross multiply
    1,194,596x = 1,849,674 × 1,849,674
  4. Step 4: Simplify right side
    1,194,596x = 3,421,293,906,276
  5. Step 5: Solve for x
    x = 3,421,293,906,276/1,194,596
  6. Step 6: Final answer
    x = 2,863,975.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.