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Finding the Third Proportional to 565,658 and 1,219,870

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Solution

The third proportional to 565,658 and 1,219,870 is: 2,630,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,658 : 1,219,870 = 1,219,870 : x
  2. Step 2: Convert to fraction form
    565,658/1,219,870 = 1,219,870/x
  3. Step 3: Cross multiply
    565,658x = 1,219,870 × 1,219,870
  4. Step 4: Simplify right side
    565,658x = 1,488,082,816,900
  5. Step 5: Solve for x
    x = 1,488,082,816,900/565,658
  6. Step 6: Final answer
    x = 2,630,711.17

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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.