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Finding the Third Proportional to 1,158,634 and 2,423,196

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Solution

The third proportional to 1,158,634 and 2,423,196 is: 5,067,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,634 : 2,423,196 = 2,423,196 : x
  2. Step 2: Convert to fraction form
    1,158,634/2,423,196 = 2,423,196/x
  3. Step 3: Cross multiply
    1,158,634x = 2,423,196 × 2,423,196
  4. Step 4: Simplify right side
    1,158,634x = 5,871,878,854,416
  5. Step 5: Solve for x
    x = 5,871,878,854,416/1,158,634
  6. Step 6: Final answer
    x = 5,067,932.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.