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Finding the Third Proportional to 535,457 and 1,164,226

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Solution

The third proportional to 535,457 and 1,164,226 is: 2,531,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,457 : 1,164,226 = 1,164,226 : x
  2. Step 2: Convert to fraction form
    535,457/1,164,226 = 1,164,226/x
  3. Step 3: Cross multiply
    535,457x = 1,164,226 × 1,164,226
  4. Step 4: Simplify right side
    535,457x = 1,355,422,179,076
  5. Step 5: Solve for x
    x = 1,355,422,179,076/535,457
  6. Step 6: Final answer
    x = 2,531,337.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.