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Finding the Third Proportional to 4,387,200 and 6,779,946

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Solution

The third proportional to 4,387,200 and 6,779,946 is: 10,477,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387,200 : 6,779,946 = 6,779,946 : x
  2. Step 2: Convert to fraction form
    4,387,200/6,779,946 = 6,779,946/x
  3. Step 3: Cross multiply
    4,387,200x = 6,779,946 × 6,779,946
  4. Step 4: Simplify right side
    4,387,200x = 45,967,667,762,916
  5. Step 5: Solve for x
    x = 45,967,667,762,916/4,387,200
  6. Step 6: Final answer
    x = 10,477,677.74

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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.