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Finding the Third Proportional to 902,604 and 1,921,124

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Solution

The third proportional to 902,604 and 1,921,124 is: 4,088,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,604 : 1,921,124 = 1,921,124 : x
  2. Step 2: Convert to fraction form
    902,604/1,921,124 = 1,921,124/x
  3. Step 3: Cross multiply
    902,604x = 1,921,124 × 1,921,124
  4. Step 4: Simplify right side
    902,604x = 3,690,717,423,376
  5. Step 5: Solve for x
    x = 3,690,717,423,376/902,604
  6. Step 6: Final answer
    x = 4,088,966.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.