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Finding the Third Proportional to 585,840 and 1,218,333

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Solution

The third proportional to 585,840 and 1,218,333 is: 2,533,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,840 : 1,218,333 = 1,218,333 : x
  2. Step 2: Convert to fraction form
    585,840/1,218,333 = 1,218,333/x
  3. Step 3: Cross multiply
    585,840x = 1,218,333 × 1,218,333
  4. Step 4: Simplify right side
    585,840x = 1,484,335,298,889
  5. Step 5: Solve for x
    x = 1,484,335,298,889/585,840
  6. Step 6: Final answer
    x = 2,533,687.18

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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.