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Finding the Third Proportional to 469,348 and 1,009,456

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Solution

The third proportional to 469,348 and 1,009,456 is: 2,171,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,348 : 1,009,456 = 1,009,456 : x
  2. Step 2: Convert to fraction form
    469,348/1,009,456 = 1,009,456/x
  3. Step 3: Cross multiply
    469,348x = 1,009,456 × 1,009,456
  4. Step 4: Simplify right side
    469,348x = 1,019,001,415,936
  5. Step 5: Solve for x
    x = 1,019,001,415,936/469,348
  6. Step 6: Final answer
    x = 2,171,099.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.