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Finding the Third Proportional to 1,587,490 and 3,483,296

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Solution

The third proportional to 1,587,490 and 3,483,296 is: 7,643,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587,490 : 3,483,296 = 3,483,296 : x
  2. Step 2: Convert to fraction form
    1,587,490/3,483,296 = 3,483,296/x
  3. Step 3: Cross multiply
    1,587,490x = 3,483,296 × 3,483,296
  4. Step 4: Simplify right side
    1,587,490x = 12,133,351,023,616
  5. Step 5: Solve for x
    x = 12,133,351,023,616/1,587,490
  6. Step 6: Final answer
    x = 7,643,103.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.