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Finding the Third Proportional to 605,148 and 1,426,475

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Solution

The third proportional to 605,148 and 1,426,475 is: 3,362,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,148 : 1,426,475 = 1,426,475 : x
  2. Step 2: Convert to fraction form
    605,148/1,426,475 = 1,426,475/x
  3. Step 3: Cross multiply
    605,148x = 1,426,475 × 1,426,475
  4. Step 4: Simplify right side
    605,148x = 2,034,830,925,625
  5. Step 5: Solve for x
    x = 2,034,830,925,625/605,148
  6. Step 6: Final answer
    x = 3,362,534.33

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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.