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Finding the Third Proportional to 423,426 and 908,252

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Solution

The third proportional to 423,426 and 908,252 is: 1,948,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,426 : 908,252 = 908,252 : x
  2. Step 2: Convert to fraction form
    423,426/908,252 = 908,252/x
  3. Step 3: Cross multiply
    423,426x = 908,252 × 908,252
  4. Step 4: Simplify right side
    423,426x = 824,921,695,504
  5. Step 5: Solve for x
    x = 824,921,695,504/423,426
  6. Step 6: Final answer
    x = 1,948,207.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.