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Finding the Third Proportional to 594,402 and 902,956

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Solution

The third proportional to 594,402 and 902,956 is: 1,371,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,402 : 902,956 = 902,956 : x
  2. Step 2: Convert to fraction form
    594,402/902,956 = 902,956/x
  3. Step 3: Cross multiply
    594,402x = 902,956 × 902,956
  4. Step 4: Simplify right side
    594,402x = 815,329,537,936
  5. Step 5: Solve for x
    x = 815,329,537,936/594,402
  6. Step 6: Final answer
    x = 1,371,680.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.