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Finding the Third Proportional to 703,946 and 1,008,777

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Solution

The third proportional to 703,946 and 1,008,777 is: 1,445,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,946 : 1,008,777 = 1,008,777 : x
  2. Step 2: Convert to fraction form
    703,946/1,008,777 = 1,008,777/x
  3. Step 3: Cross multiply
    703,946x = 1,008,777 × 1,008,777
  4. Step 4: Simplify right side
    703,946x = 1,017,631,035,729
  5. Step 5: Solve for x
    x = 1,017,631,035,729/703,946
  6. Step 6: Final answer
    x = 1,445,609.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.