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Finding the Third Proportional to 662,445 and 1,436,913

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Solution

The third proportional to 662,445 and 1,436,913 is: 3,116,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,445 : 1,436,913 = 1,436,913 : x
  2. Step 2: Convert to fraction form
    662,445/1,436,913 = 1,436,913/x
  3. Step 3: Cross multiply
    662,445x = 1,436,913 × 1,436,913
  4. Step 4: Simplify right side
    662,445x = 2,064,718,969,569
  5. Step 5: Solve for x
    x = 2,064,718,969,569/662,445
  6. Step 6: Final answer
    x = 3,116,815.69

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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.