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Finding the Third Proportional to 652,310 and 1,322,969

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Solution

The third proportional to 652,310 and 1,322,969 is: 2,683,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,310 : 1,322,969 = 1,322,969 : x
  2. Step 2: Convert to fraction form
    652,310/1,322,969 = 1,322,969/x
  3. Step 3: Cross multiply
    652,310x = 1,322,969 × 1,322,969
  4. Step 4: Simplify right side
    652,310x = 1,750,246,974,961
  5. Step 5: Solve for x
    x = 1,750,246,974,961/652,310
  6. Step 6: Final answer
    x = 2,683,152.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.