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Finding the Third Proportional to 1,549,649.68 and 3,618,684.10

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Solution

The third proportional to 1,549,649.68 and 3,618,684.10 is: 8,450,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549,649.68 : 3,618,684.10 = 3,618,684.10 : x
  2. Step 2: Convert to fraction form
    1,549,649.68/3,618,684.10 = 3,618,684.10/x
  3. Step 3: Cross multiply
    1,549,649.68x = 3,618,684.10 × 3,618,684.10
  4. Step 4: Simplify right side
    1,549,649.68x = 13,094,874,591,561.85
  5. Step 5: Solve for x
    x = 13,094,874,591,561.85/1,549,649.68
  6. Step 6: Final answer
    x = 8,450,216.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.