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Finding the Third Proportional to 830,742 and 1,787,844

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Solution

The third proportional to 830,742 and 1,787,844 is: 3,847,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,742 : 1,787,844 = 1,787,844 : x
  2. Step 2: Convert to fraction form
    830,742/1,787,844 = 1,787,844/x
  3. Step 3: Cross multiply
    830,742x = 1,787,844 × 1,787,844
  4. Step 4: Simplify right side
    830,742x = 3,196,386,168,336
  5. Step 5: Solve for x
    x = 3,196,386,168,336/830,742
  6. Step 6: Final answer
    x = 3,847,627.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.