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Finding the Third Proportional to 749,628 and 1,639,062

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Solution

The third proportional to 749,628 and 1,639,062 is: 3,583,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,628 : 1,639,062 = 1,639,062 : x
  2. Step 2: Convert to fraction form
    749,628/1,639,062 = 1,639,062/x
  3. Step 3: Cross multiply
    749,628x = 1,639,062 × 1,639,062
  4. Step 4: Simplify right side
    749,628x = 2,686,524,239,844
  5. Step 5: Solve for x
    x = 2,686,524,239,844/749,628
  6. Step 6: Final answer
    x = 3,583,809.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.