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Finding the Third Proportional to 485,412 and 1,009,560

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Solution

The third proportional to 485,412 and 1,009,560 is: 2,099,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,412 : 1,009,560 = 1,009,560 : x
  2. Step 2: Convert to fraction form
    485,412/1,009,560 = 1,009,560/x
  3. Step 3: Cross multiply
    485,412x = 1,009,560 × 1,009,560
  4. Step 4: Simplify right side
    485,412x = 1,019,211,393,600
  5. Step 5: Solve for x
    x = 1,019,211,393,600/485,412
  6. Step 6: Final answer
    x = 2,099,683.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.