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Finding the Third Proportional to 702,922 and 1,089,376

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Solution

The third proportional to 702,922 and 1,089,376 is: 1,688,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,922 : 1,089,376 = 1,089,376 : x
  2. Step 2: Convert to fraction form
    702,922/1,089,376 = 1,089,376/x
  3. Step 3: Cross multiply
    702,922x = 1,089,376 × 1,089,376
  4. Step 4: Simplify right side
    702,922x = 1,186,740,069,376
  5. Step 5: Solve for x
    x = 1,186,740,069,376/702,922
  6. Step 6: Final answer
    x = 1,688,295.53

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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.