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Finding the Third Proportional to 560,819 and 847,920

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Solution

The third proportional to 560,819 and 847,920 is: 1,281,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,819 : 847,920 = 847,920 : x
  2. Step 2: Convert to fraction form
    560,819/847,920 = 847,920/x
  3. Step 3: Cross multiply
    560,819x = 847,920 × 847,920
  4. Step 4: Simplify right side
    560,819x = 718,968,326,400
  5. Step 5: Solve for x
    x = 718,968,326,400/560,819
  6. Step 6: Final answer
    x = 1,281,997.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.