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Finding the Third Proportional to 646,468 and 1,406,872

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Solution

The third proportional to 646,468 and 1,406,872 is: 3,061,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,468 : 1,406,872 = 1,406,872 : x
  2. Step 2: Convert to fraction form
    646,468/1,406,872 = 1,406,872/x
  3. Step 3: Cross multiply
    646,468x = 1,406,872 × 1,406,872
  4. Step 4: Simplify right side
    646,468x = 1,979,288,824,384
  5. Step 5: Solve for x
    x = 1,979,288,824,384/646,468
  6. Step 6: Final answer
    x = 3,061,696.52

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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.