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Finding the Third Proportional to 453,050 and 977,029

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Solution

The third proportional to 453,050 and 977,029 is: 2,107,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,050 : 977,029 = 977,029 : x
  2. Step 2: Convert to fraction form
    453,050/977,029 = 977,029/x
  3. Step 3: Cross multiply
    453,050x = 977,029 × 977,029
  4. Step 4: Simplify right side
    453,050x = 954,585,666,841
  5. Step 5: Solve for x
    x = 954,585,666,841/453,050
  6. Step 6: Final answer
    x = 2,107,020.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.