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Finding the Third Proportional to 611,226 and 967,636.13

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Solution

The third proportional to 611,226 and 967,636.13 is: 1,531,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,226 : 967,636.13 = 967,636.13 : x
  2. Step 2: Convert to fraction form
    611,226/967,636.13 = 967,636.13/x
  3. Step 3: Cross multiply
    611,226x = 967,636.13 × 967,636.13
  4. Step 4: Simplify right side
    611,226x = 936,319,670,405.02
  5. Step 5: Solve for x
    x = 936,319,670,405.02/611,226
  6. Step 6: Final answer
    x = 1,531,871.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.