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Finding the Third Proportional to 3,651,877.50 and 5,698,896

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Solution

The third proportional to 3,651,877.50 and 5,698,896 is: 8,893,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651,877.50 : 5,698,896 = 5,698,896 : x
  2. Step 2: Convert to fraction form
    3,651,877.50/5,698,896 = 5,698,896/x
  3. Step 3: Cross multiply
    3,651,877.50x = 5,698,896 × 5,698,896
  4. Step 4: Simplify right side
    3,651,877.50x = 32,477,415,618,816
  5. Step 5: Solve for x
    x = 32,477,415,618,816/3,651,877.50
  6. Step 6: Final answer
    x = 8,893,347.50

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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.