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Finding the Third Proportional to 1,120,370 and 1,676,643

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Solution

The third proportional to 1,120,370 and 1,676,643 is: 2,509,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,370 : 1,676,643 = 1,676,643 : x
  2. Step 2: Convert to fraction form
    1,120,370/1,676,643 = 1,676,643/x
  3. Step 3: Cross multiply
    1,120,370x = 1,676,643 × 1,676,643
  4. Step 4: Simplify right side
    1,120,370x = 2,811,131,749,449
  5. Step 5: Solve for x
    x = 2,811,131,749,449/1,120,370
  6. Step 6: Final answer
    x = 2,509,110.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.