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Finding the Third Proportional to 975,648 and 1,520,544

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Solution

The third proportional to 975,648 and 1,520,544 is: 2,369,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,648 : 1,520,544 = 1,520,544 : x
  2. Step 2: Convert to fraction form
    975,648/1,520,544 = 1,520,544/x
  3. Step 3: Cross multiply
    975,648x = 1,520,544 × 1,520,544
  4. Step 4: Simplify right side
    975,648x = 2,312,054,055,936
  5. Step 5: Solve for x
    x = 2,312,054,055,936/975,648
  6. Step 6: Final answer
    x = 2,369,762.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.