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Finding the Third Proportional to 604,856 and 1,281,316

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Solution

The third proportional to 604,856 and 1,281,316 is: 2,714,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,856 : 1,281,316 = 1,281,316 : x
  2. Step 2: Convert to fraction form
    604,856/1,281,316 = 1,281,316/x
  3. Step 3: Cross multiply
    604,856x = 1,281,316 × 1,281,316
  4. Step 4: Simplify right side
    604,856x = 1,641,770,691,856
  5. Step 5: Solve for x
    x = 1,641,770,691,856/604,856
  6. Step 6: Final answer
    x = 2,714,316.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.