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Finding the Third Proportional to 918,174 and 1,425,159

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Solution

The third proportional to 918,174 and 1,425,159 is: 2,212,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,174 : 1,425,159 = 1,425,159 : x
  2. Step 2: Convert to fraction form
    918,174/1,425,159 = 1,425,159/x
  3. Step 3: Cross multiply
    918,174x = 1,425,159 × 1,425,159
  4. Step 4: Simplify right side
    918,174x = 2,031,078,175,281
  5. Step 5: Solve for x
    x = 2,031,078,175,281/918,174
  6. Step 6: Final answer
    x = 2,212,084.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.