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Finding the Third Proportional to 646,786 and 1,406,827

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Solution

The third proportional to 646,786 and 1,406,827 is: 3,059,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,786 : 1,406,827 = 1,406,827 : x
  2. Step 2: Convert to fraction form
    646,786/1,406,827 = 1,406,827/x
  3. Step 3: Cross multiply
    646,786x = 1,406,827 × 1,406,827
  4. Step 4: Simplify right side
    646,786x = 1,979,162,207,929
  5. Step 5: Solve for x
    x = 1,979,162,207,929/646,786
  6. Step 6: Final answer
    x = 3,059,995.44

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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.