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Finding the Third Proportional to 833,776 and 1,267,512

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Solution

The third proportional to 833,776 and 1,267,512 is: 1,926,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,776 : 1,267,512 = 1,267,512 : x
  2. Step 2: Convert to fraction form
    833,776/1,267,512 = 1,267,512/x
  3. Step 3: Cross multiply
    833,776x = 1,267,512 × 1,267,512
  4. Step 4: Simplify right side
    833,776x = 1,606,586,670,144
  5. Step 5: Solve for x
    x = 1,606,586,670,144/833,776
  6. Step 6: Final answer
    x = 1,926,880.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.