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Finding the Third Proportional to 1,743,907.50 and 2,711,354.06

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Solution

The third proportional to 1,743,907.50 and 2,711,354.06 is: 4,215,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,907.50 : 2,711,354.06 = 2,711,354.06 : x
  2. Step 2: Convert to fraction form
    1,743,907.50/2,711,354.06 = 2,711,354.06/x
  3. Step 3: Cross multiply
    1,743,907.50x = 2,711,354.06 × 2,711,354.06
  4. Step 4: Simplify right side
    1,743,907.50x = 7,351,440,852,235.25
  5. Step 5: Solve for x
    x = 7,351,440,852,235.25/1,743,907.50
  6. Step 6: Final answer
    x = 4,215,499.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.