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Finding the Third Proportional to 699,408 and 1,533,312

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Solution

The third proportional to 699,408 and 1,533,312 is: 3,361,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,408 : 1,533,312 = 1,533,312 : x
  2. Step 2: Convert to fraction form
    699,408/1,533,312 = 1,533,312/x
  3. Step 3: Cross multiply
    699,408x = 1,533,312 × 1,533,312
  4. Step 4: Simplify right side
    699,408x = 2,351,045,689,344
  5. Step 5: Solve for x
    x = 2,351,045,689,344/699,408
  6. Step 6: Final answer
    x = 3,361,479.55

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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.