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Finding the Third Proportional to 703,014 and 1,089,477

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Solution

The third proportional to 703,014 and 1,089,477 is: 1,688,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,014 : 1,089,477 = 1,089,477 : x
  2. Step 2: Convert to fraction form
    703,014/1,089,477 = 1,089,477/x
  3. Step 3: Cross multiply
    703,014x = 1,089,477 × 1,089,477
  4. Step 4: Simplify right side
    703,014x = 1,186,960,133,529
  5. Step 5: Solve for x
    x = 1,186,960,133,529/703,014
  6. Step 6: Final answer
    x = 1,688,387.62

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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.