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Finding the Third Proportional to 834,914 and 1,787,890

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Solution

The third proportional to 834,914 and 1,787,890 is: 3,828,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,914 : 1,787,890 = 1,787,890 : x
  2. Step 2: Convert to fraction form
    834,914/1,787,890 = 1,787,890/x
  3. Step 3: Cross multiply
    834,914x = 1,787,890 × 1,787,890
  4. Step 4: Simplify right side
    834,914x = 3,196,550,652,100
  5. Step 5: Solve for x
    x = 3,196,550,652,100/834,914
  6. Step 6: Final answer
    x = 3,828,598.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.