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Finding the Third Proportional to 699,412 and 1,533,320

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Solution

The third proportional to 699,412 and 1,533,320 is: 3,361,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,412 : 1,533,320 = 1,533,320 : x
  2. Step 2: Convert to fraction form
    699,412/1,533,320 = 1,533,320/x
  3. Step 3: Cross multiply
    699,412x = 1,533,320 × 1,533,320
  4. Step 4: Simplify right side
    699,412x = 2,351,070,222,400
  5. Step 5: Solve for x
    x = 2,351,070,222,400/699,412
  6. Step 6: Final answer
    x = 3,361,495.40

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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.