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Finding the Third Proportional to 702,923 and 1,089,377

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Solution

The third proportional to 702,923 and 1,089,377 is: 1,688,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,923 : 1,089,377 = 1,089,377 : x
  2. Step 2: Convert to fraction form
    702,923/1,089,377 = 1,089,377/x
  3. Step 3: Cross multiply
    702,923x = 1,089,377 × 1,089,377
  4. Step 4: Simplify right side
    702,923x = 1,186,742,248,129
  5. Step 5: Solve for x
    x = 1,186,742,248,129/702,923
  6. Step 6: Final answer
    x = 1,688,296.23

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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.