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Finding the Third Proportional to 453,930.75 and 977,886

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Solution

The third proportional to 453,930.75 and 977,886 is: 2,106,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,930.75 : 977,886 = 977,886 : x
  2. Step 2: Convert to fraction form
    453,930.75/977,886 = 977,886/x
  3. Step 3: Cross multiply
    453,930.75x = 977,886 × 977,886
  4. Step 4: Simplify right side
    453,930.75x = 956,261,028,996
  5. Step 5: Solve for x
    x = 956,261,028,996/453,930.75
  6. Step 6: Final answer
    x = 2,106,623.16

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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.