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Finding the Third Proportional to 598,859 and 923,076

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Solution

The third proportional to 598,859 and 923,076 is: 1,422,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,859 : 923,076 = 923,076 : x
  2. Step 2: Convert to fraction form
    598,859/923,076 = 923,076/x
  3. Step 3: Cross multiply
    598,859x = 923,076 × 923,076
  4. Step 4: Simplify right side
    598,859x = 852,069,301,776
  5. Step 5: Solve for x
    x = 852,069,301,776/598,859
  6. Step 6: Final answer
    x = 1,422,821.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.