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Finding the Third Proportional to 2,968,933.50 and 4,913,217

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Solution

The third proportional to 2,968,933.50 and 4,913,217 is: 8,130,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968,933.50 : 4,913,217 = 4,913,217 : x
  2. Step 2: Convert to fraction form
    2,968,933.50/4,913,217 = 4,913,217/x
  3. Step 3: Cross multiply
    2,968,933.50x = 4,913,217 × 4,913,217
  4. Step 4: Simplify right side
    2,968,933.50x = 24,139,701,289,089
  5. Step 5: Solve for x
    x = 24,139,701,289,089/2,968,933.50
  6. Step 6: Final answer
    x = 8,130,765.24

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.