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Finding the Third Proportional to 3,651,871.50 and 5,698,894.50

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Solution

The third proportional to 3,651,871.50 and 5,698,894.50 is: 8,893,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651,871.50 : 5,698,894.50 = 5,698,894.50 : x
  2. Step 2: Convert to fraction form
    3,651,871.50/5,698,894.50 = 5,698,894.50/x
  3. Step 3: Cross multiply
    3,651,871.50x = 5,698,894.50 × 5,698,894.50
  4. Step 4: Simplify right side
    3,651,871.50x = 32,477,398,522,130.25
  5. Step 5: Solve for x
    x = 32,477,398,522,130.25/3,651,871.50
  6. Step 6: Final answer
    x = 8,893,357.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.