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Finding the Third Proportional to 652,464 and 1,433,232

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Solution

The third proportional to 652,464 and 1,433,232 is: 3,148,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,464 : 1,433,232 = 1,433,232 : x
  2. Step 2: Convert to fraction form
    652,464/1,433,232 = 1,433,232/x
  3. Step 3: Cross multiply
    652,464x = 1,433,232 × 1,433,232
  4. Step 4: Simplify right side
    652,464x = 2,054,153,965,824
  5. Step 5: Solve for x
    x = 2,054,153,965,824/652,464
  6. Step 6: Final answer
    x = 3,148,302.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.