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Finding the Third Proportional to 453,837 and 977,695.50

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Solution

The third proportional to 453,837 and 977,695.50 is: 2,106,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,837 : 977,695.50 = 977,695.50 : x
  2. Step 2: Convert to fraction form
    453,837/977,695.50 = 977,695.50/x
  3. Step 3: Cross multiply
    453,837x = 977,695.50 × 977,695.50
  4. Step 4: Simplify right side
    453,837x = 955,888,490,720.25
  5. Step 5: Solve for x
    x = 955,888,490,720.25/453,837
  6. Step 6: Final answer
    x = 2,106,237.46

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