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Finding the Third Proportional to 977,636 and 1,504,400

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Solution

The third proportional to 977,636 and 1,504,400 is: 2,314,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,636 : 1,504,400 = 1,504,400 : x
  2. Step 2: Convert to fraction form
    977,636/1,504,400 = 1,504,400/x
  3. Step 3: Cross multiply
    977,636x = 1,504,400 × 1,504,400
  4. Step 4: Simplify right side
    977,636x = 2,263,219,360,000
  5. Step 5: Solve for x
    x = 2,263,219,360,000/977,636
  6. Step 6: Final answer
    x = 2,314,991.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.