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Finding the Third Proportional to 530,923 and 1,146,370

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Solution

The third proportional to 530,923 and 1,146,370 is: 2,475,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,923 : 1,146,370 = 1,146,370 : x
  2. Step 2: Convert to fraction form
    530,923/1,146,370 = 1,146,370/x
  3. Step 3: Cross multiply
    530,923x = 1,146,370 × 1,146,370
  4. Step 4: Simplify right side
    530,923x = 1,314,164,176,900
  5. Step 5: Solve for x
    x = 1,314,164,176,900/530,923
  6. Step 6: Final answer
    x = 2,475,244.39

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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.