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Finding the Third Proportional to 3,066,256.50 and 4,166,041.50

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Solution

The third proportional to 3,066,256.50 and 4,166,041.50 is: 5,660,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,256.50 : 4,166,041.50 = 4,166,041.50 : x
  2. Step 2: Convert to fraction form
    3,066,256.50/4,166,041.50 = 4,166,041.50/x
  3. Step 3: Cross multiply
    3,066,256.50x = 4,166,041.50 × 4,166,041.50
  4. Step 4: Simplify right side
    3,066,256.50x = 17,355,901,779,722.25
  5. Step 5: Solve for x
    x = 17,355,901,779,722.25/3,066,256.50
  6. Step 6: Final answer
    x = 5,660,290.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.