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Finding the Third Proportional to 560,816 and 847,914

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Solution

The third proportional to 560,816 and 847,914 is: 1,281,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,816 : 847,914 = 847,914 : x
  2. Step 2: Convert to fraction form
    560,816/847,914 = 847,914/x
  3. Step 3: Cross multiply
    560,816x = 847,914 × 847,914
  4. Step 4: Simplify right side
    560,816x = 718,958,151,396
  5. Step 5: Solve for x
    x = 718,958,151,396/560,816
  6. Step 6: Final answer
    x = 1,281,985.81

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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.