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Finding the Third Proportional to 3,064,797 and 6,447,209

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Solution

The third proportional to 3,064,797 and 6,447,209 is: 13,562,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064,797 : 6,447,209 = 6,447,209 : x
  2. Step 2: Convert to fraction form
    3,064,797/6,447,209 = 6,447,209/x
  3. Step 3: Cross multiply
    3,064,797x = 6,447,209 × 6,447,209
  4. Step 4: Simplify right side
    3,064,797x = 41,566,503,889,681
  5. Step 5: Solve for x
    x = 41,566,503,889,681/3,064,797
  6. Step 6: Final answer
    x = 13,562,563.49

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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.