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Finding the Third Proportional to 565,583 and 1,230,674

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Solution

The third proportional to 565,583 and 1,230,674 is: 2,677,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,583 : 1,230,674 = 1,230,674 : x
  2. Step 2: Convert to fraction form
    565,583/1,230,674 = 1,230,674/x
  3. Step 3: Cross multiply
    565,583x = 1,230,674 × 1,230,674
  4. Step 4: Simplify right side
    565,583x = 1,514,558,494,276
  5. Step 5: Solve for x
    x = 1,514,558,494,276/565,583
  6. Step 6: Final answer
    x = 2,677,871.32

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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.