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Finding the Third Proportional to 1,835,013 and 4,317,429

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Solution

The third proportional to 1,835,013 and 4,317,429 is: 10,158,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,013 : 4,317,429 = 4,317,429 : x
  2. Step 2: Convert to fraction form
    1,835,013/4,317,429 = 4,317,429/x
  3. Step 3: Cross multiply
    1,835,013x = 4,317,429 × 4,317,429
  4. Step 4: Simplify right side
    1,835,013x = 18,640,193,170,041
  5. Step 5: Solve for x
    x = 18,640,193,170,041/1,835,013
  6. Step 6: Final answer
    x = 10,158,071.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.