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Finding the Third Proportional to 982,270 and 1,477,050

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Solution

The third proportional to 982,270 and 1,477,050 is: 2,221,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,270 : 1,477,050 = 1,477,050 : x
  2. Step 2: Convert to fraction form
    982,270/1,477,050 = 1,477,050/x
  3. Step 3: Cross multiply
    982,270x = 1,477,050 × 1,477,050
  4. Step 4: Simplify right side
    982,270x = 2,181,676,702,500
  5. Step 5: Solve for x
    x = 2,181,676,702,500/982,270
  6. Step 6: Final answer
    x = 2,221,056.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.