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Finding the Third Proportional to 465,973 and 1,019,180

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Solution

The third proportional to 465,973 and 1,019,180 is: 2,229,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,973 : 1,019,180 = 1,019,180 : x
  2. Step 2: Convert to fraction form
    465,973/1,019,180 = 1,019,180/x
  3. Step 3: Cross multiply
    465,973x = 1,019,180 × 1,019,180
  4. Step 4: Simplify right side
    465,973x = 1,038,727,872,400
  5. Step 5: Solve for x
    x = 1,038,727,872,400/465,973
  6. Step 6: Final answer
    x = 2,229,158.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.