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Finding the Third Proportional to 616,836 and 967,854

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Solution

The third proportional to 616,836 and 967,854 is: 1,518,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,836 : 967,854 = 967,854 : x
  2. Step 2: Convert to fraction form
    616,836/967,854 = 967,854/x
  3. Step 3: Cross multiply
    616,836x = 967,854 × 967,854
  4. Step 4: Simplify right side
    616,836x = 936,741,365,316
  5. Step 5: Solve for x
    x = 936,741,365,316/616,836
  6. Step 6: Final answer
    x = 1,518,623.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.