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Finding the Third Proportional to 465,622 and 1,005,440

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Solution

The third proportional to 465,622 and 1,005,440 is: 2,171,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,622 : 1,005,440 = 1,005,440 : x
  2. Step 2: Convert to fraction form
    465,622/1,005,440 = 1,005,440/x
  3. Step 3: Cross multiply
    465,622x = 1,005,440 × 1,005,440
  4. Step 4: Simplify right side
    465,622x = 1,010,909,593,600
  5. Step 5: Solve for x
    x = 1,010,909,593,600/465,622
  6. Step 6: Final answer
    x = 2,171,094.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.