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Finding the Third Proportional to 902,496 and 1,925,088

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Solution

The third proportional to 902,496 and 1,925,088 is: 4,106,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,496 : 1,925,088 = 1,925,088 : x
  2. Step 2: Convert to fraction form
    902,496/1,925,088 = 1,925,088/x
  3. Step 3: Cross multiply
    902,496x = 1,925,088 × 1,925,088
  4. Step 4: Simplify right side
    902,496x = 3,705,963,807,744
  5. Step 5: Solve for x
    x = 3,705,963,807,744/902,496
  6. Step 6: Final answer
    x = 4,106,349.29

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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.