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Finding the Third Proportional to 874,836 and 1,264,302

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Solution

The third proportional to 874,836 and 1,264,302 is: 1,827,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,836 : 1,264,302 = 1,264,302 : x
  2. Step 2: Convert to fraction form
    874,836/1,264,302 = 1,264,302/x
  3. Step 3: Cross multiply
    874,836x = 1,264,302 × 1,264,302
  4. Step 4: Simplify right side
    874,836x = 1,598,459,547,204
  5. Step 5: Solve for x
    x = 1,598,459,547,204/874,836
  6. Step 6: Final answer
    x = 1,827,153.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.