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Finding the Third Proportional to 977,984 and 1,496,018

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Solution

The third proportional to 977,984 and 1,496,018 is: 2,288,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,984 : 1,496,018 = 1,496,018 : x
  2. Step 2: Convert to fraction form
    977,984/1,496,018 = 1,496,018/x
  3. Step 3: Cross multiply
    977,984x = 1,496,018 × 1,496,018
  4. Step 4: Simplify right side
    977,984x = 2,238,069,856,324
  5. Step 5: Solve for x
    x = 2,238,069,856,324/977,984
  6. Step 6: Final answer
    x = 2,288,452.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.