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Finding the Third Proportional to 1,907,829 and 4,146,939

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Solution

The third proportional to 1,907,829 and 4,146,939 is: 9,013,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907,829 : 4,146,939 = 4,146,939 : x
  2. Step 2: Convert to fraction form
    1,907,829/4,146,939 = 4,146,939/x
  3. Step 3: Cross multiply
    1,907,829x = 4,146,939 × 4,146,939
  4. Step 4: Simplify right side
    1,907,829x = 17,197,103,069,721
  5. Step 5: Solve for x
    x = 17,197,103,069,721/1,907,829
  6. Step 6: Final answer
    x = 9,013,964.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.