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Finding the Third Proportional to 829,611.50 and 1,742,653

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Solution

The third proportional to 829,611.50 and 1,742,653 is: 3,660,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,611.50 : 1,742,653 = 1,742,653 : x
  2. Step 2: Convert to fraction form
    829,611.50/1,742,653 = 1,742,653/x
  3. Step 3: Cross multiply
    829,611.50x = 1,742,653 × 1,742,653
  4. Step 4: Simplify right side
    829,611.50x = 3,036,839,478,409
  5. Step 5: Solve for x
    x = 3,036,839,478,409/829,611.50
  6. Step 6: Final answer
    x = 3,660,556.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.