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Finding the Third Proportional to 683,313 and 1,495,326

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Solution

The third proportional to 683,313 and 1,495,326 is: 3,272,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,313 : 1,495,326 = 1,495,326 : x
  2. Step 2: Convert to fraction form
    683,313/1,495,326 = 1,495,326/x
  3. Step 3: Cross multiply
    683,313x = 1,495,326 × 1,495,326
  4. Step 4: Simplify right side
    683,313x = 2,235,999,846,276
  5. Step 5: Solve for x
    x = 2,235,999,846,276/683,313
  6. Step 6: Final answer
    x = 3,272,292.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.