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Finding the Third Proportional to 2,382,907.50 and 3,636,711

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Solution

The third proportional to 2,382,907.50 and 3,636,711 is: 5,550,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382,907.50 : 3,636,711 = 3,636,711 : x
  2. Step 2: Convert to fraction form
    2,382,907.50/3,636,711 = 3,636,711/x
  3. Step 3: Cross multiply
    2,382,907.50x = 3,636,711 × 3,636,711
  4. Step 4: Simplify right side
    2,382,907.50x = 13,225,666,897,521
  5. Step 5: Solve for x
    x = 13,225,666,897,521/2,382,907.50
  6. Step 6: Final answer
    x = 5,550,222.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.