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Finding the Third Proportional to 456,264 and 1,056,221

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Solution

The third proportional to 456,264 and 1,056,221 is: 2,445,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,264 : 1,056,221 = 1,056,221 : x
  2. Step 2: Convert to fraction form
    456,264/1,056,221 = 1,056,221/x
  3. Step 3: Cross multiply
    456,264x = 1,056,221 × 1,056,221
  4. Step 4: Simplify right side
    456,264x = 1,115,602,800,841
  5. Step 5: Solve for x
    x = 1,115,602,800,841/456,264
  6. Step 6: Final answer
    x = 2,445,081.80

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.