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Finding the Third Proportional to 940,632 and 1,419,428

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Solution

The third proportional to 940,632 and 1,419,428 is: 2,141,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,632 : 1,419,428 = 1,419,428 : x
  2. Step 2: Convert to fraction form
    940,632/1,419,428 = 1,419,428/x
  3. Step 3: Cross multiply
    940,632x = 1,419,428 × 1,419,428
  4. Step 4: Simplify right side
    940,632x = 2,014,775,847,184
  5. Step 5: Solve for x
    x = 2,014,775,847,184/940,632
  6. Step 6: Final answer
    x = 2,141,938.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.