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Finding the Third Proportional to 947,430 and 1,456,287

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Solution

The third proportional to 947,430 and 1,456,287 is: 2,238,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,430 : 1,456,287 = 1,456,287 : x
  2. Step 2: Convert to fraction form
    947,430/1,456,287 = 1,456,287/x
  3. Step 3: Cross multiply
    947,430x = 1,456,287 × 1,456,287
  4. Step 4: Simplify right side
    947,430x = 2,120,771,826,369
  5. Step 5: Solve for x
    x = 2,120,771,826,369/947,430
  6. Step 6: Final answer
    x = 2,238,446.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.