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Finding the Third Proportional to 778,946 and 1,698,180

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Solution

The third proportional to 778,946 and 1,698,180 is: 3,702,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,946 : 1,698,180 = 1,698,180 : x
  2. Step 2: Convert to fraction form
    778,946/1,698,180 = 1,698,180/x
  3. Step 3: Cross multiply
    778,946x = 1,698,180 × 1,698,180
  4. Step 4: Simplify right side
    778,946x = 2,883,815,312,400
  5. Step 5: Solve for x
    x = 2,883,815,312,400/778,946
  6. Step 6: Final answer
    x = 3,702,201.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.