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Finding the Third Proportional to 902,358 and 1,269,594

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Solution

The third proportional to 902,358 and 1,269,594 is: 1,786,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,358 : 1,269,594 = 1,269,594 : x
  2. Step 2: Convert to fraction form
    902,358/1,269,594 = 1,269,594/x
  3. Step 3: Cross multiply
    902,358x = 1,269,594 × 1,269,594
  4. Step 4: Simplify right side
    902,358x = 1,611,868,924,836
  5. Step 5: Solve for x
    x = 1,611,868,924,836/902,358
  6. Step 6: Final answer
    x = 1,786,285.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.