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Finding the Third Proportional to 616,788 and 984,222

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Solution

The third proportional to 616,788 and 984,222 is: 1,570,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,788 : 984,222 = 984,222 : x
  2. Step 2: Convert to fraction form
    616,788/984,222 = 984,222/x
  3. Step 3: Cross multiply
    616,788x = 984,222 × 984,222
  4. Step 4: Simplify right side
    616,788x = 968,692,945,284
  5. Step 5: Solve for x
    x = 968,692,945,284/616,788
  6. Step 6: Final answer
    x = 1,570,544.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.