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Finding the Third Proportional to 415,935 and 901,368

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Solution

The third proportional to 415,935 and 901,368 is: 1,953,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,935 : 901,368 = 901,368 : x
  2. Step 2: Convert to fraction form
    415,935/901,368 = 901,368/x
  3. Step 3: Cross multiply
    415,935x = 901,368 × 901,368
  4. Step 4: Simplify right side
    415,935x = 812,464,271,424
  5. Step 5: Solve for x
    x = 812,464,271,424/415,935
  6. Step 6: Final answer
    x = 1,953,344.32

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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.