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Finding the Third Proportional to 432,444 and 946,342

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Solution

The third proportional to 432,444 and 946,342 is: 2,070,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,444 : 946,342 = 946,342 : x
  2. Step 2: Convert to fraction form
    432,444/946,342 = 946,342/x
  3. Step 3: Cross multiply
    432,444x = 946,342 × 946,342
  4. Step 4: Simplify right side
    432,444x = 895,563,180,964
  5. Step 5: Solve for x
    x = 895,563,180,964/432,444
  6. Step 6: Final answer
    x = 2,070,934.46

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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.