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Finding the Third Proportional to 646,788 and 1,406,832

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Solution

The third proportional to 646,788 and 1,406,832 is: 3,060,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,788 : 1,406,832 = 1,406,832 : x
  2. Step 2: Convert to fraction form
    646,788/1,406,832 = 1,406,832/x
  3. Step 3: Cross multiply
    646,788x = 1,406,832 × 1,406,832
  4. Step 4: Simplify right side
    646,788x = 1,979,176,276,224
  5. Step 5: Solve for x
    x = 1,979,176,276,224/646,788
  6. Step 6: Final answer
    x = 3,060,007.72

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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.