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Finding the Third Proportional to 652,044 and 1,382,592

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Solution

The third proportional to 652,044 and 1,382,592 is: 2,931,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,044 : 1,382,592 = 1,382,592 : x
  2. Step 2: Convert to fraction form
    652,044/1,382,592 = 1,382,592/x
  3. Step 3: Cross multiply
    652,044x = 1,382,592 × 1,382,592
  4. Step 4: Simplify right side
    652,044x = 1,911,560,638,464
  5. Step 5: Solve for x
    x = 1,911,560,638,464/652,044
  6. Step 6: Final answer
    x = 2,931,643.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.