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Finding the Third Proportional to 805,842 and 1,754,028

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Solution

The third proportional to 805,842 and 1,754,028 is: 3,817,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,842 : 1,754,028 = 1,754,028 : x
  2. Step 2: Convert to fraction form
    805,842/1,754,028 = 1,754,028/x
  3. Step 3: Cross multiply
    805,842x = 1,754,028 × 1,754,028
  4. Step 4: Simplify right side
    805,842x = 3,076,614,224,784
  5. Step 5: Solve for x
    x = 3,076,614,224,784/805,842
  6. Step 6: Final answer
    x = 3,817,887.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.