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Finding the Third Proportional to 1,050,741 and 1,664,077.50

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Solution

The third proportional to 1,050,741 and 1,664,077.50 is: 2,635,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,741 : 1,664,077.50 = 1,664,077.50 : x
  2. Step 2: Convert to fraction form
    1,050,741/1,664,077.50 = 1,664,077.50/x
  3. Step 3: Cross multiply
    1,050,741x = 1,664,077.50 × 1,664,077.50
  4. Step 4: Simplify right side
    1,050,741x = 2,769,153,926,006.25
  5. Step 5: Solve for x
    x = 2,769,153,926,006.25/1,050,741
  6. Step 6: Final answer
    x = 2,635,429.59

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.