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Finding the Third Proportional to 695,803 and 1,509,684

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Solution

The third proportional to 695,803 and 1,509,684 is: 3,275,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,803 : 1,509,684 = 1,509,684 : x
  2. Step 2: Convert to fraction form
    695,803/1,509,684 = 1,509,684/x
  3. Step 3: Cross multiply
    695,803x = 1,509,684 × 1,509,684
  4. Step 4: Simplify right side
    695,803x = 2,279,145,779,856
  5. Step 5: Solve for x
    x = 2,279,145,779,856/695,803
  6. Step 6: Final answer
    x = 3,275,561.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.