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Finding the Third Proportional to 1,264,786 and 2,985,599

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Solution

The third proportional to 1,264,786 and 2,985,599 is: 7,047,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,786 : 2,985,599 = 2,985,599 : x
  2. Step 2: Convert to fraction form
    1,264,786/2,985,599 = 2,985,599/x
  3. Step 3: Cross multiply
    1,264,786x = 2,985,599 × 2,985,599
  4. Step 4: Simplify right side
    1,264,786x = 8,913,801,388,801
  5. Step 5: Solve for x
    x = 8,913,801,388,801/1,264,786
  6. Step 6: Final answer
    x = 7,047,675.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.