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Finding the Third Proportional to 695,583 and 1,465,878

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Solution

The third proportional to 695,583 and 1,465,878 is: 3,089,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,583 : 1,465,878 = 1,465,878 : x
  2. Step 2: Convert to fraction form
    695,583/1,465,878 = 1,465,878/x
  3. Step 3: Cross multiply
    695,583x = 1,465,878 × 1,465,878
  4. Step 4: Simplify right side
    695,583x = 2,148,798,310,884
  5. Step 5: Solve for x
    x = 2,148,798,310,884/695,583
  6. Step 6: Final answer
    x = 3,089,204.75

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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.