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Finding the Third Proportional to 565,569 and 1,230,646

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Solution

The third proportional to 565,569 and 1,230,646 is: 2,677,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,569 : 1,230,646 = 1,230,646 : x
  2. Step 2: Convert to fraction form
    565,569/1,230,646 = 1,230,646/x
  3. Step 3: Cross multiply
    565,569x = 1,230,646 × 1,230,646
  4. Step 4: Simplify right side
    565,569x = 1,514,489,577,316
  5. Step 5: Solve for x
    x = 1,514,489,577,316/565,569
  6. Step 6: Final answer
    x = 2,677,815.75

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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.