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Finding the Third Proportional to 977,976 and 1,496,022

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Solution

The third proportional to 977,976 and 1,496,022 is: 2,288,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,976 : 1,496,022 = 1,496,022 : x
  2. Step 2: Convert to fraction form
    977,976/1,496,022 = 1,496,022/x
  3. Step 3: Cross multiply
    977,976x = 1,496,022 × 1,496,022
  4. Step 4: Simplify right side
    977,976x = 2,238,081,824,484
  5. Step 5: Solve for x
    x = 2,238,081,824,484/977,976
  6. Step 6: Final answer
    x = 2,288,483.38

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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.