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Finding the Third Proportional to 695,368 and 1,444,024

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Solution

The third proportional to 695,368 and 1,444,024 is: 2,998,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,368 : 1,444,024 = 1,444,024 : x
  2. Step 2: Convert to fraction form
    695,368/1,444,024 = 1,444,024/x
  3. Step 3: Cross multiply
    695,368x = 1,444,024 × 1,444,024
  4. Step 4: Simplify right side
    695,368x = 2,085,205,312,576
  5. Step 5: Solve for x
    x = 2,085,205,312,576/695,368
  6. Step 6: Final answer
    x = 2,998,707.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.