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Finding the Third Proportional to 589,007 and 945,013

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Solution

The third proportional to 589,007 and 945,013 is: 1,516,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,007 : 945,013 = 945,013 : x
  2. Step 2: Convert to fraction form
    589,007/945,013 = 945,013/x
  3. Step 3: Cross multiply
    589,007x = 945,013 × 945,013
  4. Step 4: Simplify right side
    589,007x = 893,049,570,169
  5. Step 5: Solve for x
    x = 893,049,570,169/589,007
  6. Step 6: Final answer
    x = 1,516,195.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.