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Finding the Third Proportional to 469,264 and 1,031,840

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Solution

The third proportional to 469,264 and 1,031,840 is: 2,268,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,264 : 1,031,840 = 1,031,840 : x
  2. Step 2: Convert to fraction form
    469,264/1,031,840 = 1,031,840/x
  3. Step 3: Cross multiply
    469,264x = 1,031,840 × 1,031,840
  4. Step 4: Simplify right side
    469,264x = 1,064,693,785,600
  5. Step 5: Solve for x
    x = 1,064,693,785,600/469,264
  6. Step 6: Final answer
    x = 2,268,858.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.