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Finding the Third Proportional to 695,322 and 1,465,371

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Solution

The third proportional to 695,322 and 1,465,371 is: 3,088,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,322 : 1,465,371 = 1,465,371 : x
  2. Step 2: Convert to fraction form
    695,322/1,465,371 = 1,465,371/x
  3. Step 3: Cross multiply
    695,322x = 1,465,371 × 1,465,371
  4. Step 4: Simplify right side
    695,322x = 2,147,312,167,641
  5. Step 5: Solve for x
    x = 2,147,312,167,641/695,322
  6. Step 6: Final answer
    x = 3,088,226.99

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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.