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Finding the Third Proportional to 432,440 and 946,334

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Solution

The third proportional to 432,440 and 946,334 is: 2,070,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,440 : 946,334 = 946,334 : x
  2. Step 2: Convert to fraction form
    432,440/946,334 = 946,334/x
  3. Step 3: Cross multiply
    432,440x = 946,334 × 946,334
  4. Step 4: Simplify right side
    432,440x = 895,548,039,556
  5. Step 5: Solve for x
    x = 895,548,039,556/432,440
  6. Step 6: Final answer
    x = 2,070,918.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.