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Finding the Third Proportional to 699,284 and 1,533,352

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Solution

The third proportional to 699,284 and 1,533,352 is: 3,362,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,284 : 1,533,352 = 1,533,352 : x
  2. Step 2: Convert to fraction form
    699,284/1,533,352 = 1,533,352/x
  3. Step 3: Cross multiply
    699,284x = 1,533,352 × 1,533,352
  4. Step 4: Simplify right side
    699,284x = 2,351,168,355,904
  5. Step 5: Solve for x
    x = 2,351,168,355,904/699,284
  6. Step 6: Final answer
    x = 3,362,251.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.