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Finding the Third Proportional to 585,362 and 1,276,807

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Solution

The third proportional to 585,362 and 1,276,807 is: 2,785,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,362 : 1,276,807 = 1,276,807 : x
  2. Step 2: Convert to fraction form
    585,362/1,276,807 = 1,276,807/x
  3. Step 3: Cross multiply
    585,362x = 1,276,807 × 1,276,807
  4. Step 4: Simplify right side
    585,362x = 1,630,236,115,249
  5. Step 5: Solve for x
    x = 1,630,236,115,249/585,362
  6. Step 6: Final answer
    x = 2,785,005.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.