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Finding the Third Proportional to 977,121 and 2,153,016

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Solution

The third proportional to 977,121 and 2,153,016 is: 4,744,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,121 : 2,153,016 = 2,153,016 : x
  2. Step 2: Convert to fraction form
    977,121/2,153,016 = 2,153,016/x
  3. Step 3: Cross multiply
    977,121x = 2,153,016 × 2,153,016
  4. Step 4: Simplify right side
    977,121x = 4,635,477,896,256
  5. Step 5: Solve for x
    x = 4,635,477,896,256/977,121
  6. Step 6: Final answer
    x = 4,744,016.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.