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Finding the Third Proportional to 585,798 and 1,269,282

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Solution

The third proportional to 585,798 and 1,269,282 is: 2,750,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,798 : 1,269,282 = 1,269,282 : x
  2. Step 2: Convert to fraction form
    585,798/1,269,282 = 1,269,282/x
  3. Step 3: Cross multiply
    585,798x = 1,269,282 × 1,269,282
  4. Step 4: Simplify right side
    585,798x = 1,611,076,795,524
  5. Step 5: Solve for x
    x = 1,611,076,795,524/585,798
  6. Step 6: Final answer
    x = 2,750,225.84

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Why These Related Problems?

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