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Finding the Third Proportional to 530,962 and 1,146,376

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Solution

The third proportional to 530,962 and 1,146,376 is: 2,475,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,962 : 1,146,376 = 1,146,376 : x
  2. Step 2: Convert to fraction form
    530,962/1,146,376 = 1,146,376/x
  3. Step 3: Cross multiply
    530,962x = 1,146,376 × 1,146,376
  4. Step 4: Simplify right side
    530,962x = 1,314,177,933,376
  5. Step 5: Solve for x
    x = 1,314,177,933,376/530,962
  6. Step 6: Final answer
    x = 2,475,088.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.