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Finding the Third Proportional to 730,169 and 1,089,178

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Solution

The third proportional to 730,169 and 1,089,178 is: 1,624,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,169 : 1,089,178 = 1,089,178 : x
  2. Step 2: Convert to fraction form
    730,169/1,089,178 = 1,089,178/x
  3. Step 3: Cross multiply
    730,169x = 1,089,178 × 1,089,178
  4. Step 4: Simplify right side
    730,169x = 1,186,308,715,684
  5. Step 5: Solve for x
    x = 1,186,308,715,684/730,169
  6. Step 6: Final answer
    x = 1,624,704.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.