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Finding the Third Proportional to 569,736 and 1,230,840

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Solution

The third proportional to 569,736 and 1,230,840 is: 2,659,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,736 : 1,230,840 = 1,230,840 : x
  2. Step 2: Convert to fraction form
    569,736/1,230,840 = 1,230,840/x
  3. Step 3: Cross multiply
    569,736x = 1,230,840 × 1,230,840
  4. Step 4: Simplify right side
    569,736x = 1,514,967,105,600
  5. Step 5: Solve for x
    x = 1,514,967,105,600/569,736
  6. Step 6: Final answer
    x = 2,659,068.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.