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Finding the Third Proportional to 461,169 and 991,226.25

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Solution

The third proportional to 461,169 and 991,226.25 is: 2,130,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,169 : 991,226.25 = 991,226.25 : x
  2. Step 2: Convert to fraction form
    461,169/991,226.25 = 991,226.25/x
  3. Step 3: Cross multiply
    461,169x = 991,226.25 × 991,226.25
  4. Step 4: Simplify right side
    461,169x = 982,529,478,689.06
  5. Step 5: Solve for x
    x = 982,529,478,689.06/461,169
  6. Step 6: Final answer
    x = 2,130,519.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.