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Finding the Third Proportional to 497,410 and 1,065,736

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Solution

The third proportional to 497,410 and 1,065,736 is: 2,283,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,410 : 1,065,736 = 1,065,736 : x
  2. Step 2: Convert to fraction form
    497,410/1,065,736 = 1,065,736/x
  3. Step 3: Cross multiply
    497,410x = 1,065,736 × 1,065,736
  4. Step 4: Simplify right side
    497,410x = 1,135,793,221,696
  5. Step 5: Solve for x
    x = 1,135,793,221,696/497,410
  6. Step 6: Final answer
    x = 2,283,414.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.