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Finding the Third Proportional to 456,390 and 1,017,719

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Solution

The third proportional to 456,390 and 1,017,719 is: 2,269,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,390 : 1,017,719 = 1,017,719 : x
  2. Step 2: Convert to fraction form
    456,390/1,017,719 = 1,017,719/x
  3. Step 3: Cross multiply
    456,390x = 1,017,719 × 1,017,719
  4. Step 4: Simplify right side
    456,390x = 1,035,751,962,961
  5. Step 5: Solve for x
    x = 1,035,751,962,961/456,390
  6. Step 6: Final answer
    x = 2,269,444.91

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.