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Finding the Third Proportional to 1,021,216 and 1,431,050

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Solution

The third proportional to 1,021,216 and 1,431,050 is: 2,005,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,216 : 1,431,050 = 1,431,050 : x
  2. Step 2: Convert to fraction form
    1,021,216/1,431,050 = 1,431,050/x
  3. Step 3: Cross multiply
    1,021,216x = 1,431,050 × 1,431,050
  4. Step 4: Simplify right side
    1,021,216x = 2,047,904,102,500
  5. Step 5: Solve for x
    x = 2,047,904,102,500/1,021,216
  6. Step 6: Final answer
    x = 2,005,358.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.