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Finding the Third Proportional to 1,686,673 and 3,614,402

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Solution

The third proportional to 1,686,673 and 3,614,402 is: 7,745,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,673 : 3,614,402 = 3,614,402 : x
  2. Step 2: Convert to fraction form
    1,686,673/3,614,402 = 3,614,402/x
  3. Step 3: Cross multiply
    1,686,673x = 3,614,402 × 3,614,402
  4. Step 4: Simplify right side
    1,686,673x = 13,063,901,817,604
  5. Step 5: Solve for x
    x = 13,063,901,817,604/1,686,673
  6. Step 6: Final answer
    x = 7,745,367.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.