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Finding the Third Proportional to 878,024 and 1,780,270

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Solution

The third proportional to 878,024 and 1,780,270 is: 3,609,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,024 : 1,780,270 = 1,780,270 : x
  2. Step 2: Convert to fraction form
    878,024/1,780,270 = 1,780,270/x
  3. Step 3: Cross multiply
    878,024x = 1,780,270 × 1,780,270
  4. Step 4: Simplify right side
    878,024x = 3,169,361,272,900
  5. Step 5: Solve for x
    x = 3,169,361,272,900/878,024
  6. Step 6: Final answer
    x = 3,609,652.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.