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Finding the Third Proportional to 2,946,618.50 and 4,401,780.63

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Solution

The third proportional to 2,946,618.50 and 4,401,780.63 is: 6,575,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,618.50 : 4,401,780.63 = 4,401,780.63 : x
  2. Step 2: Convert to fraction form
    2,946,618.50/4,401,780.63 = 4,401,780.63/x
  3. Step 3: Cross multiply
    2,946,618.50x = 4,401,780.63 × 4,401,780.63
  4. Step 4: Simplify right side
    2,946,618.50x = 19,375,672,670,625.39
  5. Step 5: Solve for x
    x = 19,375,672,670,625.39/2,946,618.50
  6. Step 6: Final answer
    x = 6,575,562.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.