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Finding the Third Proportional to 509,297 and 1,060,431

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Solution

The third proportional to 509,297 and 1,060,431 is: 2,207,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,297 : 1,060,431 = 1,060,431 : x
  2. Step 2: Convert to fraction form
    509,297/1,060,431 = 1,060,431/x
  3. Step 3: Cross multiply
    509,297x = 1,060,431 × 1,060,431
  4. Step 4: Simplify right side
    509,297x = 1,124,513,905,761
  5. Step 5: Solve for x
    x = 1,124,513,905,761/509,297
  6. Step 6: Final answer
    x = 2,207,972.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.