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Finding the Third Proportional to 947,308 and 1,499,856

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Solution

The third proportional to 947,308 and 1,499,856 is: 2,374,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,308 : 1,499,856 = 1,499,856 : x
  2. Step 2: Convert to fraction form
    947,308/1,499,856 = 1,499,856/x
  3. Step 3: Cross multiply
    947,308x = 1,499,856 × 1,499,856
  4. Step 4: Simplify right side
    947,308x = 2,249,568,020,736
  5. Step 5: Solve for x
    x = 2,249,568,020,736/947,308
  6. Step 6: Final answer
    x = 2,374,695.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.