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Finding the Third Proportional to 532,868 and 1,115,000

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Solution

The third proportional to 532,868 and 1,115,000 is: 2,333,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,868 : 1,115,000 = 1,115,000 : x
  2. Step 2: Convert to fraction form
    532,868/1,115,000 = 1,115,000/x
  3. Step 3: Cross multiply
    532,868x = 1,115,000 × 1,115,000
  4. Step 4: Simplify right side
    532,868x = 1,243,225,000,000
  5. Step 5: Solve for x
    x = 1,243,225,000,000/532,868
  6. Step 6: Final answer
    x = 2,333,082.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.