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Finding the Third Proportional to 565,518 and 1,229,208

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Solution

The third proportional to 565,518 and 1,229,208 is: 2,671,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,518 : 1,229,208 = 1,229,208 : x
  2. Step 2: Convert to fraction form
    565,518/1,229,208 = 1,229,208/x
  3. Step 3: Cross multiply
    565,518x = 1,229,208 × 1,229,208
  4. Step 4: Simplify right side
    565,518x = 1,510,952,307,264
  5. Step 5: Solve for x
    x = 1,510,952,307,264/565,518
  6. Step 6: Final answer
    x = 2,671,802.33

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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.