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Finding the Third Proportional to 1,652,424 and 3,503,352

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Solution

The third proportional to 1,652,424 and 3,503,352 is: 7,427,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,424 : 3,503,352 = 3,503,352 : x
  2. Step 2: Convert to fraction form
    1,652,424/3,503,352 = 3,503,352/x
  3. Step 3: Cross multiply
    1,652,424x = 3,503,352 × 3,503,352
  4. Step 4: Simplify right side
    1,652,424x = 12,273,475,235,904
  5. Step 5: Solve for x
    x = 12,273,475,235,904/1,652,424
  6. Step 6: Final answer
    x = 7,427,558.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.