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Finding the Third Proportional to 530,928 and 822,072

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Solution

The third proportional to 530,928 and 822,072 is: 1,272,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,928 : 822,072 = 822,072 : x
  2. Step 2: Convert to fraction form
    530,928/822,072 = 822,072/x
  3. Step 3: Cross multiply
    530,928x = 822,072 × 822,072
  4. Step 4: Simplify right side
    530,928x = 675,802,373,184
  5. Step 5: Solve for x
    x = 675,802,373,184/530,928
  6. Step 6: Final answer
    x = 1,272,870.09

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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.