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Finding the Third Proportional to 589,704 and 935,222

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Solution

The third proportional to 589,704 and 935,222 is: 1,483,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,704 : 935,222 = 935,222 : x
  2. Step 2: Convert to fraction form
    589,704/935,222 = 935,222/x
  3. Step 3: Cross multiply
    589,704x = 935,222 × 935,222
  4. Step 4: Simplify right side
    589,704x = 874,640,189,284
  5. Step 5: Solve for x
    x = 874,640,189,284/589,704
  6. Step 6: Final answer
    x = 1,483,185.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.