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Finding the Third Proportional to 703,018 and 1,089,484

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Solution

The third proportional to 703,018 and 1,089,484 is: 1,688,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,018 : 1,089,484 = 1,089,484 : x
  2. Step 2: Convert to fraction form
    703,018/1,089,484 = 1,089,484/x
  3. Step 3: Cross multiply
    703,018x = 1,089,484 × 1,089,484
  4. Step 4: Simplify right side
    703,018x = 1,186,975,386,256
  5. Step 5: Solve for x
    x = 1,186,975,386,256/703,018
  6. Step 6: Final answer
    x = 1,688,399.71

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