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Finding the Third Proportional to 839,160 and 1,827,684

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Solution

The third proportional to 839,160 and 1,827,684 is: 3,980,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,160 : 1,827,684 = 1,827,684 : x
  2. Step 2: Convert to fraction form
    839,160/1,827,684 = 1,827,684/x
  3. Step 3: Cross multiply
    839,160x = 1,827,684 × 1,827,684
  4. Step 4: Simplify right side
    839,160x = 3,340,428,803,856
  5. Step 5: Solve for x
    x = 3,340,428,803,856/839,160
  6. Step 6: Final answer
    x = 3,980,681.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.