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Finding the Third Proportional to 765,467 and 1,683,004

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Solution

The third proportional to 765,467 and 1,683,004 is: 3,700,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,467 : 1,683,004 = 1,683,004 : x
  2. Step 2: Convert to fraction form
    765,467/1,683,004 = 1,683,004/x
  3. Step 3: Cross multiply
    765,467x = 1,683,004 × 1,683,004
  4. Step 4: Simplify right side
    765,467x = 2,832,502,464,016
  5. Step 5: Solve for x
    x = 2,832,502,464,016/765,467
  6. Step 6: Final answer
    x = 3,700,358.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.