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Finding the Third Proportional to 859,207 and 1,262,503

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Solution

The third proportional to 859,207 and 1,262,503 is: 1,855,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,207 : 1,262,503 = 1,262,503 : x
  2. Step 2: Convert to fraction form
    859,207/1,262,503 = 1,262,503/x
  3. Step 3: Cross multiply
    859,207x = 1,262,503 × 1,262,503
  4. Step 4: Simplify right side
    859,207x = 1,593,913,825,009
  5. Step 5: Solve for x
    x = 1,593,913,825,009/859,207
  6. Step 6: Final answer
    x = 1,855,098.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.