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Finding the Third Proportional to 834,017 and 1,820,964

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Solution

The third proportional to 834,017 and 1,820,964 is: 3,975,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,017 : 1,820,964 = 1,820,964 : x
  2. Step 2: Convert to fraction form
    834,017/1,820,964 = 1,820,964/x
  3. Step 3: Cross multiply
    834,017x = 1,820,964 × 1,820,964
  4. Step 4: Simplify right side
    834,017x = 3,315,909,889,296
  5. Step 5: Solve for x
    x = 3,315,909,889,296/834,017
  6. Step 6: Final answer
    x = 3,975,830.10

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Why These Related Problems?

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