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Finding the Third Proportional to 776,146 and 1,696,580

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Solution

The third proportional to 776,146 and 1,696,580 is: 3,708,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,146 : 1,696,580 = 1,696,580 : x
  2. Step 2: Convert to fraction form
    776,146/1,696,580 = 1,696,580/x
  3. Step 3: Cross multiply
    776,146x = 1,696,580 × 1,696,580
  4. Step 4: Simplify right side
    776,146x = 2,878,383,696,400
  5. Step 5: Solve for x
    x = 2,878,383,696,400/776,146
  6. Step 6: Final answer
    x = 3,708,559.60

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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.