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Finding the Third Proportional to 898,632 and 1,923,623

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Solution

The third proportional to 898,632 and 1,923,623 is: 4,117,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,632 : 1,923,623 = 1,923,623 : x
  2. Step 2: Convert to fraction form
    898,632/1,923,623 = 1,923,623/x
  3. Step 3: Cross multiply
    898,632x = 1,923,623 × 1,923,623
  4. Step 4: Simplify right side
    898,632x = 3,700,325,446,129
  5. Step 5: Solve for x
    x = 3,700,325,446,129/898,632
  6. Step 6: Final answer
    x = 4,117,731.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.