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Finding the Third Proportional to 2,100,421 and 4,580,946

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Solution

The third proportional to 2,100,421 and 4,580,946 is: 9,990,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,421 : 4,580,946 = 4,580,946 : x
  2. Step 2: Convert to fraction form
    2,100,421/4,580,946 = 4,580,946/x
  3. Step 3: Cross multiply
    2,100,421x = 4,580,946 × 4,580,946
  4. Step 4: Simplify right side
    2,100,421x = 20,985,066,254,916
  5. Step 5: Solve for x
    x = 20,985,066,254,916/2,100,421
  6. Step 6: Final answer
    x = 9,990,885.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.