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Finding the Third Proportional to 977,539.50 and 2,128,857.75

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Solution

The third proportional to 977,539.50 and 2,128,857.75 is: 4,636,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,539.50 : 2,128,857.75 = 2,128,857.75 : x
  2. Step 2: Convert to fraction form
    977,539.50/2,128,857.75 = 2,128,857.75/x
  3. Step 3: Cross multiply
    977,539.50x = 2,128,857.75 × 2,128,857.75
  4. Step 4: Simplify right side
    977,539.50x = 4,532,035,319,735.06
  5. Step 5: Solve for x
    x = 4,532,035,319,735.06/977,539.50
  6. Step 6: Final answer
    x = 4,636,165.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.