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Finding the Third Proportional to 507,636 and 1,100,160

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Solution

The third proportional to 507,636 and 1,100,160 is: 2,384,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,636 : 1,100,160 = 1,100,160 : x
  2. Step 2: Convert to fraction form
    507,636/1,100,160 = 1,100,160/x
  3. Step 3: Cross multiply
    507,636x = 1,100,160 × 1,100,160
  4. Step 4: Simplify right side
    507,636x = 1,210,352,025,600
  5. Step 5: Solve for x
    x = 1,210,352,025,600/507,636
  6. Step 6: Final answer
    x = 2,384,291.16

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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.