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Finding the Third Proportional to 676,610 and 1,473,764

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Solution

The third proportional to 676,610 and 1,473,764 is: 3,210,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,610 : 1,473,764 = 1,473,764 : x
  2. Step 2: Convert to fraction form
    676,610/1,473,764 = 1,473,764/x
  3. Step 3: Cross multiply
    676,610x = 1,473,764 × 1,473,764
  4. Step 4: Simplify right side
    676,610x = 2,171,980,327,696
  5. Step 5: Solve for x
    x = 2,171,980,327,696/676,610
  6. Step 6: Final answer
    x = 3,210,091.97

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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.