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Finding the Third Proportional to 1,211,490 and 2,643,032

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Solution

The third proportional to 1,211,490 and 2,643,032 is: 5,766,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,490 : 2,643,032 = 2,643,032 : x
  2. Step 2: Convert to fraction form
    1,211,490/2,643,032 = 2,643,032/x
  3. Step 3: Cross multiply
    1,211,490x = 2,643,032 × 2,643,032
  4. Step 4: Simplify right side
    1,211,490x = 6,985,618,153,024
  5. Step 5: Solve for x
    x = 6,985,618,153,024/1,211,490
  6. Step 6: Final answer
    x = 5,766,137.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.