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Finding the Third Proportional to 832,658 and 1,189,827

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Solution

The third proportional to 832,658 and 1,189,827 is: 1,700,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,658 : 1,189,827 = 1,189,827 : x
  2. Step 2: Convert to fraction form
    832,658/1,189,827 = 1,189,827/x
  3. Step 3: Cross multiply
    832,658x = 1,189,827 × 1,189,827
  4. Step 4: Simplify right side
    832,658x = 1,415,688,289,929
  5. Step 5: Solve for x
    x = 1,415,688,289,929/832,658
  6. Step 6: Final answer
    x = 1,700,203.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.