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Finding the Third Proportional to 514,680 and 1,115,232

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Solution

The third proportional to 514,680 and 1,115,232 is: 2,416,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,680 : 1,115,232 = 1,115,232 : x
  2. Step 2: Convert to fraction form
    514,680/1,115,232 = 1,115,232/x
  3. Step 3: Cross multiply
    514,680x = 1,115,232 × 1,115,232
  4. Step 4: Simplify right side
    514,680x = 1,243,742,413,824
  5. Step 5: Solve for x
    x = 1,243,742,413,824/514,680
  6. Step 6: Final answer
    x = 2,416,535.35

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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.