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Finding the Third Proportional to 475,836 and 1,056,648

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Solution

The third proportional to 475,836 and 1,056,648 is: 2,346,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,836 : 1,056,648 = 1,056,648 : x
  2. Step 2: Convert to fraction form
    475,836/1,056,648 = 1,056,648/x
  3. Step 3: Cross multiply
    475,836x = 1,056,648 × 1,056,648
  4. Step 4: Simplify right side
    475,836x = 1,116,504,995,904
  5. Step 5: Solve for x
    x = 1,116,504,995,904/475,836
  6. Step 6: Final answer
    x = 2,346,407.16

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.