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Finding the Third Proportional to 898,640 and 1,923,640

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Solution

The third proportional to 898,640 and 1,923,640 is: 4,117,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,640 : 1,923,640 = 1,923,640 : x
  2. Step 2: Convert to fraction form
    898,640/1,923,640 = 1,923,640/x
  3. Step 3: Cross multiply
    898,640x = 1,923,640 × 1,923,640
  4. Step 4: Simplify right side
    898,640x = 3,700,390,849,600
  5. Step 5: Solve for x
    x = 3,700,390,849,600/898,640
  6. Step 6: Final answer
    x = 4,117,767.79

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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.