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Finding the Third Proportional to 535,516 and 1,159,196

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Solution

The third proportional to 535,516 and 1,159,196 is: 2,509,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,516 : 1,159,196 = 1,159,196 : x
  2. Step 2: Convert to fraction form
    535,516/1,159,196 = 1,159,196/x
  3. Step 3: Cross multiply
    535,516x = 1,159,196 × 1,159,196
  4. Step 4: Simplify right side
    535,516x = 1,343,735,366,416
  5. Step 5: Solve for x
    x = 1,343,735,366,416/535,516
  6. Step 6: Final answer
    x = 2,509,234.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.