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Finding the Third Proportional to 3,257,824 and 4,971,000

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Solution

The third proportional to 3,257,824 and 4,971,000 is: 7,585,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,824 : 4,971,000 = 4,971,000 : x
  2. Step 2: Convert to fraction form
    3,257,824/4,971,000 = 4,971,000/x
  3. Step 3: Cross multiply
    3,257,824x = 4,971,000 × 4,971,000
  4. Step 4: Simplify right side
    3,257,824x = 24,710,841,000,000
  5. Step 5: Solve for x
    x = 24,710,841,000,000/3,257,824
  6. Step 6: Final answer
    x = 7,585,075.50

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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.