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Finding the Third Proportional to 736,952 and 1,529,296

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Solution

The third proportional to 736,952 and 1,529,296 is: 3,173,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,952 : 1,529,296 = 1,529,296 : x
  2. Step 2: Convert to fraction form
    736,952/1,529,296 = 1,529,296/x
  3. Step 3: Cross multiply
    736,952x = 1,529,296 × 1,529,296
  4. Step 4: Simplify right side
    736,952x = 2,338,746,255,616
  5. Step 5: Solve for x
    x = 2,338,746,255,616/736,952
  6. Step 6: Final answer
    x = 3,173,539.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.