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Finding the Third Proportional to 948,820 and 2,042,712

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Solution

The third proportional to 948,820 and 2,042,712 is: 4,397,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,820 : 2,042,712 = 2,042,712 : x
  2. Step 2: Convert to fraction form
    948,820/2,042,712 = 2,042,712/x
  3. Step 3: Cross multiply
    948,820x = 2,042,712 × 2,042,712
  4. Step 4: Simplify right side
    948,820x = 4,172,672,314,944
  5. Step 5: Solve for x
    x = 4,172,672,314,944/948,820
  6. Step 6: Final answer
    x = 4,397,749.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.