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Finding the Third Proportional to 535,071 and 1,114,429

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Solution

The third proportional to 535,071 and 1,114,429 is: 2,321,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,071 : 1,114,429 = 1,114,429 : x
  2. Step 2: Convert to fraction form
    535,071/1,114,429 = 1,114,429/x
  3. Step 3: Cross multiply
    535,071x = 1,114,429 × 1,114,429
  4. Step 4: Simplify right side
    535,071x = 1,241,951,996,041
  5. Step 5: Solve for x
    x = 1,241,951,996,041/535,071
  6. Step 6: Final answer
    x = 2,321,097.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.