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Finding the Third Proportional to 877,828 and 2,051,146

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Solution

The third proportional to 877,828 and 2,051,146 is: 4,792,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,828 : 2,051,146 = 2,051,146 : x
  2. Step 2: Convert to fraction form
    877,828/2,051,146 = 2,051,146/x
  3. Step 3: Cross multiply
    877,828x = 2,051,146 × 2,051,146
  4. Step 4: Simplify right side
    877,828x = 4,207,199,913,316
  5. Step 5: Solve for x
    x = 4,207,199,913,316/877,828
  6. Step 6: Final answer
    x = 4,792,738.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.