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Finding the Third Proportional to 695,718 and 992,223

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Solution

The third proportional to 695,718 and 992,223 is: 1,415,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,718 : 992,223 = 992,223 : x
  2. Step 2: Convert to fraction form
    695,718/992,223 = 992,223/x
  3. Step 3: Cross multiply
    695,718x = 992,223 × 992,223
  4. Step 4: Simplify right side
    695,718x = 984,506,481,729
  5. Step 5: Solve for x
    x = 984,506,481,729/695,718
  6. Step 6: Final answer
    x = 1,415,094.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.