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Finding the Third Proportional to 1,569,700 and 3,390,296

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Solution

The third proportional to 1,569,700 and 3,390,296 is: 7,322,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,700 : 3,390,296 = 3,390,296 : x
  2. Step 2: Convert to fraction form
    1,569,700/3,390,296 = 3,390,296/x
  3. Step 3: Cross multiply
    1,569,700x = 3,390,296 × 3,390,296
  4. Step 4: Simplify right side
    1,569,700x = 11,494,106,967,616
  5. Step 5: Solve for x
    x = 11,494,106,967,616/1,569,700
  6. Step 6: Final answer
    x = 7,322,486.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.