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Finding the Third Proportional to 670,268 and 1,460,974

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Solution

The third proportional to 670,268 and 1,460,974 is: 3,184,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,268 : 1,460,974 = 1,460,974 : x
  2. Step 2: Convert to fraction form
    670,268/1,460,974 = 1,460,974/x
  3. Step 3: Cross multiply
    670,268x = 1,460,974 × 1,460,974
  4. Step 4: Simplify right side
    670,268x = 2,134,445,028,676
  5. Step 5: Solve for x
    x = 2,134,445,028,676/670,268
  6. Step 6: Final answer
    x = 3,184,465.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.