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Finding the Third Proportional to 646,688 and 1,410,848

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Solution

The third proportional to 646,688 and 1,410,848 is: 3,077,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,688 : 1,410,848 = 1,410,848 : x
  2. Step 2: Convert to fraction form
    646,688/1,410,848 = 1,410,848/x
  3. Step 3: Cross multiply
    646,688x = 1,410,848 × 1,410,848
  4. Step 4: Simplify right side
    646,688x = 1,990,492,079,104
  5. Step 5: Solve for x
    x = 1,990,492,079,104/646,688
  6. Step 6: Final answer
    x = 3,077,978.99

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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.