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Finding the Third Proportional to 1,114,940 and 2,387,290

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Solution

The third proportional to 1,114,940 and 2,387,290 is: 5,111,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,940 : 2,387,290 = 2,387,290 : x
  2. Step 2: Convert to fraction form
    1,114,940/2,387,290 = 2,387,290/x
  3. Step 3: Cross multiply
    1,114,940x = 2,387,290 × 2,387,290
  4. Step 4: Simplify right side
    1,114,940x = 5,699,153,544,100
  5. Step 5: Solve for x
    x = 5,699,153,544,100/1,114,940
  6. Step 6: Final answer
    x = 5,111,623.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.