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Finding the Third Proportional to 1,705,434 and 3,668,932

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Solution

The third proportional to 1,705,434 and 3,668,932 is: 7,893,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,434 : 3,668,932 = 3,668,932 : x
  2. Step 2: Convert to fraction form
    1,705,434/3,668,932 = 3,668,932/x
  3. Step 3: Cross multiply
    1,705,434x = 3,668,932 × 3,668,932
  4. Step 4: Simplify right side
    1,705,434x = 13,461,062,020,624
  5. Step 5: Solve for x
    x = 13,461,062,020,624/1,705,434
  6. Step 6: Final answer
    x = 7,893,041.90

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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.