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Finding the Third Proportional to 560,236 and 1,229,312

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Solution

The third proportional to 560,236 and 1,229,312 is: 2,697,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,236 : 1,229,312 = 1,229,312 : x
  2. Step 2: Convert to fraction form
    560,236/1,229,312 = 1,229,312/x
  3. Step 3: Cross multiply
    560,236x = 1,229,312 × 1,229,312
  4. Step 4: Simplify right side
    560,236x = 1,511,207,993,344
  5. Step 5: Solve for x
    x = 1,511,207,993,344/560,236
  6. Step 6: Final answer
    x = 2,697,448.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.