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Finding the Third Proportional to 508,749 and 1,106,072

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Solution

The third proportional to 508,749 and 1,106,072 is: 2,404,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,749 : 1,106,072 = 1,106,072 : x
  2. Step 2: Convert to fraction form
    508,749/1,106,072 = 1,106,072/x
  3. Step 3: Cross multiply
    508,749x = 1,106,072 × 1,106,072
  4. Step 4: Simplify right side
    508,749x = 1,223,395,269,184
  5. Step 5: Solve for x
    x = 1,223,395,269,184/508,749
  6. Step 6: Final answer
    x = 2,404,712.87

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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.