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Finding the Third Proportional to 761,870 and 1,659,196

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Solution

The third proportional to 761,870 and 1,659,196 is: 3,613,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,870 : 1,659,196 = 1,659,196 : x
  2. Step 2: Convert to fraction form
    761,870/1,659,196 = 1,659,196/x
  3. Step 3: Cross multiply
    761,870x = 1,659,196 × 1,659,196
  4. Step 4: Simplify right side
    761,870x = 2,752,931,366,416
  5. Step 5: Solve for x
    x = 2,752,931,366,416/761,870
  6. Step 6: Final answer
    x = 3,613,387.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.