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Finding the Third Proportional to 695,584 and 1,465,880

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Solution

The third proportional to 695,584 and 1,465,880 is: 3,089,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,584 : 1,465,880 = 1,465,880 : x
  2. Step 2: Convert to fraction form
    695,584/1,465,880 = 1,465,880/x
  3. Step 3: Cross multiply
    695,584x = 1,465,880 × 1,465,880
  4. Step 4: Simplify right side
    695,584x = 2,148,804,174,400
  5. Step 5: Solve for x
    x = 2,148,804,174,400/695,584
  6. Step 6: Final answer
    x = 3,089,208.74

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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.