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Finding the Third Proportional to 453,933 and 977,889

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Solution

The third proportional to 453,933 and 977,889 is: 2,106,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,933 : 977,889 = 977,889 : x
  2. Step 2: Convert to fraction form
    453,933/977,889 = 977,889/x
  3. Step 3: Cross multiply
    453,933x = 977,889 × 977,889
  4. Step 4: Simplify right side
    453,933x = 956,266,896,321
  5. Step 5: Solve for x
    x = 956,266,896,321/453,933
  6. Step 6: Final answer
    x = 2,106,625.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.