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Finding the Third Proportional to 471,136 and 1,009,600

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Solution

The third proportional to 471,136 and 1,009,600 is: 2,163,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,136 : 1,009,600 = 1,009,600 : x
  2. Step 2: Convert to fraction form
    471,136/1,009,600 = 1,009,600/x
  3. Step 3: Cross multiply
    471,136x = 1,009,600 × 1,009,600
  4. Step 4: Simplify right side
    471,136x = 1,019,292,160,000
  5. Step 5: Solve for x
    x = 1,019,292,160,000/471,136
  6. Step 6: Final answer
    x = 2,163,477.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.