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Finding the Third Proportional to 560,814 and 847,911

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Solution

The third proportional to 560,814 and 847,911 is: 1,281,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,814 : 847,911 = 847,911 : x
  2. Step 2: Convert to fraction form
    560,814/847,911 = 847,911/x
  3. Step 3: Cross multiply
    560,814x = 847,911 × 847,911
  4. Step 4: Simplify right side
    560,814x = 718,953,063,921
  5. Step 5: Solve for x
    x = 718,953,063,921/560,814
  6. Step 6: Final answer
    x = 1,281,981.31

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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.