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Finding the Third Proportional to 838,530 and 1,810,547

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Solution

The third proportional to 838,530 and 1,810,547 is: 3,909,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,530 : 1,810,547 = 1,810,547 : x
  2. Step 2: Convert to fraction form
    838,530/1,810,547 = 1,810,547/x
  3. Step 3: Cross multiply
    838,530x = 1,810,547 × 1,810,547
  4. Step 4: Simplify right side
    838,530x = 3,278,080,439,209
  5. Step 5: Solve for x
    x = 3,278,080,439,209/838,530
  6. Step 6: Final answer
    x = 3,909,318.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.