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Finding the Third Proportional to 702,916 and 1,089,366

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Solution

The third proportional to 702,916 and 1,089,366 is: 1,688,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,916 : 1,089,366 = 1,089,366 : x
  2. Step 2: Convert to fraction form
    702,916/1,089,366 = 1,089,366/x
  3. Step 3: Cross multiply
    702,916x = 1,089,366 × 1,089,366
  4. Step 4: Simplify right side
    702,916x = 1,186,718,281,956
  5. Step 5: Solve for x
    x = 1,186,718,281,956/702,916
  6. Step 6: Final answer
    x = 1,688,278.94

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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.