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Finding the Third Proportional to 652,444 and 1,433,192

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Solution

The third proportional to 652,444 and 1,433,192 is: 3,148,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,444 : 1,433,192 = 1,433,192 : x
  2. Step 2: Convert to fraction form
    652,444/1,433,192 = 1,433,192/x
  3. Step 3: Cross multiply
    652,444x = 1,433,192 × 1,433,192
  4. Step 4: Simplify right side
    652,444x = 2,054,039,308,864
  5. Step 5: Solve for x
    x = 2,054,039,308,864/652,444
  6. Step 6: Final answer
    x = 3,148,223.16

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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.