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Finding the Third Proportional to 1,172,352 and 2,510,592

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Solution

The third proportional to 1,172,352 and 2,510,592 is: 5,376,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,352 : 2,510,592 = 2,510,592 : x
  2. Step 2: Convert to fraction form
    1,172,352/2,510,592 = 2,510,592/x
  3. Step 3: Cross multiply
    1,172,352x = 2,510,592 × 2,510,592
  4. Step 4: Simplify right side
    1,172,352x = 6,303,072,190,464
  5. Step 5: Solve for x
    x = 6,303,072,190,464/1,172,352
  6. Step 6: Final answer
    x = 5,376,433.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.