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Finding the Third Proportional to 1,540,700 and 3,435,452

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Solution

The third proportional to 1,540,700 and 3,435,452 is: 7,660,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,700 : 3,435,452 = 3,435,452 : x
  2. Step 2: Convert to fraction form
    1,540,700/3,435,452 = 3,435,452/x
  3. Step 3: Cross multiply
    1,540,700x = 3,435,452 × 3,435,452
  4. Step 4: Simplify right side
    1,540,700x = 11,802,330,444,304
  5. Step 5: Solve for x
    x = 11,802,330,444,304/1,540,700
  6. Step 6: Final answer
    x = 7,660,368.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.