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Finding the Third Proportional to 878,511 and 1,925,121

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Solution

The third proportional to 878,511 and 1,925,121 is: 4,218,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,511 : 1,925,121 = 1,925,121 : x
  2. Step 2: Convert to fraction form
    878,511/1,925,121 = 1,925,121/x
  3. Step 3: Cross multiply
    878,511x = 1,925,121 × 1,925,121
  4. Step 4: Simplify right side
    878,511x = 3,706,090,864,641
  5. Step 5: Solve for x
    x = 3,706,090,864,641/878,511
  6. Step 6: Final answer
    x = 4,218,604.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.