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Finding the Third Proportional to 652,385 and 1,349,536

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Solution

The third proportional to 652,385 and 1,349,536 is: 2,791,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,385 : 1,349,536 = 1,349,536 : x
  2. Step 2: Convert to fraction form
    652,385/1,349,536 = 1,349,536/x
  3. Step 3: Cross multiply
    652,385x = 1,349,536 × 1,349,536
  4. Step 4: Simplify right side
    652,385x = 1,821,247,415,296
  5. Step 5: Solve for x
    x = 1,821,247,415,296/652,385
  6. Step 6: Final answer
    x = 2,791,675.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.