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Finding the Third Proportional to 702,996 and 1,089,450

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Solution

The third proportional to 702,996 and 1,089,450 is: 1,688,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,996 : 1,089,450 = 1,089,450 : x
  2. Step 2: Convert to fraction form
    702,996/1,089,450 = 1,089,450/x
  3. Step 3: Cross multiply
    702,996x = 1,089,450 × 1,089,450
  4. Step 4: Simplify right side
    702,996x = 1,186,901,302,500
  5. Step 5: Solve for x
    x = 1,186,901,302,500/702,996
  6. Step 6: Final answer
    x = 1,688,347.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.