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Finding the Third Proportional to 1,013,239 and 1,581,203

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Solution

The third proportional to 1,013,239 and 1,581,203 is: 2,467,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,239 : 1,581,203 = 1,581,203 : x
  2. Step 2: Convert to fraction form
    1,013,239/1,581,203 = 1,581,203/x
  3. Step 3: Cross multiply
    1,013,239x = 1,581,203 × 1,581,203
  4. Step 4: Simplify right side
    1,013,239x = 2,500,202,927,209
  5. Step 5: Solve for x
    x = 2,500,202,927,209/1,013,239
  6. Step 6: Final answer
    x = 2,467,535.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.