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Finding the Third Proportional to 898,828 and 1,908,460

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Solution

The third proportional to 898,828 and 1,908,460 is: 4,052,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,828 : 1,908,460 = 1,908,460 : x
  2. Step 2: Convert to fraction form
    898,828/1,908,460 = 1,908,460/x
  3. Step 3: Cross multiply
    898,828x = 1,908,460 × 1,908,460
  4. Step 4: Simplify right side
    898,828x = 3,642,219,571,600
  5. Step 5: Solve for x
    x = 3,642,219,571,600/898,828
  6. Step 6: Final answer
    x = 4,052,187.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.