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Finding the Third Proportional to 612,225 and 1,429,643

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Solution

The third proportional to 612,225 and 1,429,643 is: 3,338,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,225 : 1,429,643 = 1,429,643 : x
  2. Step 2: Convert to fraction form
    612,225/1,429,643 = 1,429,643/x
  3. Step 3: Cross multiply
    612,225x = 1,429,643 × 1,429,643
  4. Step 4: Simplify right side
    612,225x = 2,043,879,107,449
  5. Step 5: Solve for x
    x = 2,043,879,107,449/612,225
  6. Step 6: Final answer
    x = 3,338,444.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.