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Finding the Third Proportional to 506,709 and 1,101,033

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Solution

The third proportional to 506,709 and 1,101,033 is: 2,392,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,709 : 1,101,033 = 1,101,033 : x
  2. Step 2: Convert to fraction form
    506,709/1,101,033 = 1,101,033/x
  3. Step 3: Cross multiply
    506,709x = 1,101,033 × 1,101,033
  4. Step 4: Simplify right side
    506,709x = 1,212,273,667,089
  5. Step 5: Solve for x
    x = 1,212,273,667,089/506,709
  6. Step 6: Final answer
    x = 2,392,445.50

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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.