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Finding the Third Proportional to 945,640 and 1,419,428

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Solution

The third proportional to 945,640 and 1,419,428 is: 2,130,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,640 : 1,419,428 = 1,419,428 : x
  2. Step 2: Convert to fraction form
    945,640/1,419,428 = 1,419,428/x
  3. Step 3: Cross multiply
    945,640x = 1,419,428 × 1,419,428
  4. Step 4: Simplify right side
    945,640x = 2,014,775,847,184
  5. Step 5: Solve for x
    x = 2,014,775,847,184/945,640
  6. Step 6: Final answer
    x = 2,130,594.99

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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.