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Finding the Third Proportional to 695,444 and 1,465,609

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Solution

The third proportional to 695,444 and 1,465,609 is: 3,088,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,444 : 1,465,609 = 1,465,609 : x
  2. Step 2: Convert to fraction form
    695,444/1,465,609 = 1,465,609/x
  3. Step 3: Cross multiply
    695,444x = 1,465,609 × 1,465,609
  4. Step 4: Simplify right side
    695,444x = 2,148,009,740,881
  5. Step 5: Solve for x
    x = 2,148,009,740,881/695,444
  6. Step 6: Final answer
    x = 3,088,688.29

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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.