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Finding the Third Proportional to 903,842 and 1,927,780

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Solution

The third proportional to 903,842 and 1,927,780 is: 4,111,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,842 : 1,927,780 = 1,927,780 : x
  2. Step 2: Convert to fraction form
    903,842/1,927,780 = 1,927,780/x
  3. Step 3: Cross multiply
    903,842x = 1,927,780 × 1,927,780
  4. Step 4: Simplify right side
    903,842x = 3,716,335,728,400
  5. Step 5: Solve for x
    x = 3,716,335,728,400/903,842
  6. Step 6: Final answer
    x = 4,111,709.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.