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Finding the Third Proportional to 525,735 and 1,148,764.50

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Solution

The third proportional to 525,735 and 1,148,764.50 is: 2,510,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,735 : 1,148,764.50 = 1,148,764.50 : x
  2. Step 2: Convert to fraction form
    525,735/1,148,764.50 = 1,148,764.50/x
  3. Step 3: Cross multiply
    525,735x = 1,148,764.50 × 1,148,764.50
  4. Step 4: Simplify right side
    525,735x = 1,319,659,876,460.25
  5. Step 5: Solve for x
    x = 1,319,659,876,460.25/525,735
  6. Step 6: Final answer
    x = 2,510,123.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.