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Finding the Third Proportional to 421,248 and 900,352

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Solution

The third proportional to 421,248 and 900,352 is: 1,924,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,248 : 900,352 = 900,352 : x
  2. Step 2: Convert to fraction form
    421,248/900,352 = 900,352/x
  3. Step 3: Cross multiply
    421,248x = 900,352 × 900,352
  4. Step 4: Simplify right side
    421,248x = 810,633,723,904
  5. Step 5: Solve for x
    x = 810,633,723,904/421,248
  6. Step 6: Final answer
    x = 1,924,362.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.