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Finding the Third Proportional to 695,478 and 1,466,712

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Solution

The third proportional to 695,478 and 1,466,712 is: 3,093,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,478 : 1,466,712 = 1,466,712 : x
  2. Step 2: Convert to fraction form
    695,478/1,466,712 = 1,466,712/x
  3. Step 3: Cross multiply
    695,478x = 1,466,712 × 1,466,712
  4. Step 4: Simplify right side
    695,478x = 2,151,244,090,944
  5. Step 5: Solve for x
    x = 2,151,244,090,944/695,478
  6. Step 6: Final answer
    x = 3,093,187.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.