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Finding the Third Proportional to 776,564 and 1,668,394

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Solution

The third proportional to 776,564 and 1,668,394 is: 3,584,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,564 : 1,668,394 = 1,668,394 : x
  2. Step 2: Convert to fraction form
    776,564/1,668,394 = 1,668,394/x
  3. Step 3: Cross multiply
    776,564x = 1,668,394 × 1,668,394
  4. Step 4: Simplify right side
    776,564x = 2,783,538,539,236
  5. Step 5: Solve for x
    x = 2,783,538,539,236/776,564
  6. Step 6: Final answer
    x = 3,584,429.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.