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Finding the Third Proportional to 1,537,596 and 3,302,532

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Solution

The third proportional to 1,537,596 and 3,302,532 is: 7,093,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,596 : 3,302,532 = 3,302,532 : x
  2. Step 2: Convert to fraction form
    1,537,596/3,302,532 = 3,302,532/x
  3. Step 3: Cross multiply
    1,537,596x = 3,302,532 × 3,302,532
  4. Step 4: Simplify right side
    1,537,596x = 10,906,717,611,024
  5. Step 5: Solve for x
    x = 10,906,717,611,024/1,537,596
  6. Step 6: Final answer
    x = 7,093,357.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.