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Finding the Third Proportional to 878,513 and 1,925,125

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Solution

The third proportional to 878,513 and 1,925,125 is: 4,218,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,513 : 1,925,125 = 1,925,125 : x
  2. Step 2: Convert to fraction form
    878,513/1,925,125 = 1,925,125/x
  3. Step 3: Cross multiply
    878,513x = 1,925,125 × 1,925,125
  4. Step 4: Simplify right side
    878,513x = 3,706,106,265,625
  5. Step 5: Solve for x
    x = 3,706,106,265,625/878,513
  6. Step 6: Final answer
    x = 4,218,612.89

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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.