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Finding the Third Proportional to 878,445 and 1,833,138

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Solution

The third proportional to 878,445 and 1,833,138 is: 3,825,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,445 : 1,833,138 = 1,833,138 : x
  2. Step 2: Convert to fraction form
    878,445/1,833,138 = 1,833,138/x
  3. Step 3: Cross multiply
    878,445x = 1,833,138 × 1,833,138
  4. Step 4: Simplify right side
    878,445x = 3,360,394,927,044
  5. Step 5: Solve for x
    x = 3,360,394,927,044/878,445
  6. Step 6: Final answer
    x = 3,825,390.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.