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Finding the Third Proportional to 434,248 and 956,842

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Solution

The third proportional to 434,248 and 956,842 is: 2,108,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,248 : 956,842 = 956,842 : x
  2. Step 2: Convert to fraction form
    434,248/956,842 = 956,842/x
  3. Step 3: Cross multiply
    434,248x = 956,842 × 956,842
  4. Step 4: Simplify right side
    434,248x = 915,546,612,964
  5. Step 5: Solve for x
    x = 915,546,612,964/434,248
  6. Step 6: Final answer
    x = 2,108,349.64

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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.