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Finding the Third Proportional to 872,052 and 1,881,696

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Solution

The third proportional to 872,052 and 1,881,696 is: 4,060,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,052 : 1,881,696 = 1,881,696 : x
  2. Step 2: Convert to fraction form
    872,052/1,881,696 = 1,881,696/x
  3. Step 3: Cross multiply
    872,052x = 1,881,696 × 1,881,696
  4. Step 4: Simplify right side
    872,052x = 3,540,779,836,416
  5. Step 5: Solve for x
    x = 3,540,779,836,416/872,052
  6. Step 6: Final answer
    x = 4,060,285.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.