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Finding the Third Proportional to 894,496 and 1,353,376

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Solution

The third proportional to 894,496 and 1,353,376 is: 2,047,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,496 : 1,353,376 = 1,353,376 : x
  2. Step 2: Convert to fraction form
    894,496/1,353,376 = 1,353,376/x
  3. Step 3: Cross multiply
    894,496x = 1,353,376 × 1,353,376
  4. Step 4: Simplify right side
    894,496x = 1,831,626,597,376
  5. Step 5: Solve for x
    x = 1,831,626,597,376/894,496
  6. Step 6: Final answer
    x = 2,047,663.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.