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Finding the Third Proportional to 599,286 and 1,298,364

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Solution

The third proportional to 599,286 and 1,298,364 is: 2,812,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,286 : 1,298,364 = 1,298,364 : x
  2. Step 2: Convert to fraction form
    599,286/1,298,364 = 1,298,364/x
  3. Step 3: Cross multiply
    599,286x = 1,298,364 × 1,298,364
  4. Step 4: Simplify right side
    599,286x = 1,685,749,076,496
  5. Step 5: Solve for x
    x = 1,685,749,076,496/599,286
  6. Step 6: Final answer
    x = 2,812,929.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.