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Finding the Third Proportional to 876,186 and 1,352,970

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Solution

The third proportional to 876,186 and 1,352,970 is: 2,089,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,186 : 1,352,970 = 1,352,970 : x
  2. Step 2: Convert to fraction form
    876,186/1,352,970 = 1,352,970/x
  3. Step 3: Cross multiply
    876,186x = 1,352,970 × 1,352,970
  4. Step 4: Simplify right side
    876,186x = 1,830,527,820,900
  5. Step 5: Solve for x
    x = 1,830,527,820,900/876,186
  6. Step 6: Final answer
    x = 2,089,200.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.