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Finding the Third Proportional to 703,220 and 1,041,678

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Solution

The third proportional to 703,220 and 1,041,678 is: 1,543,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,220 : 1,041,678 = 1,041,678 : x
  2. Step 2: Convert to fraction form
    703,220/1,041,678 = 1,041,678/x
  3. Step 3: Cross multiply
    703,220x = 1,041,678 × 1,041,678
  4. Step 4: Simplify right side
    703,220x = 1,085,093,055,684
  5. Step 5: Solve for x
    x = 1,085,093,055,684/703,220
  6. Step 6: Final answer
    x = 1,543,034.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.