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Finding the Third Proportional to 765,100.50 and 1,069,647

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Solution

The third proportional to 765,100.50 and 1,069,647 is: 1,495,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,100.50 : 1,069,647 = 1,069,647 : x
  2. Step 2: Convert to fraction form
    765,100.50/1,069,647 = 1,069,647/x
  3. Step 3: Cross multiply
    765,100.50x = 1,069,647 × 1,069,647
  4. Step 4: Simplify right side
    765,100.50x = 1,144,144,704,609
  5. Step 5: Solve for x
    x = 1,144,144,704,609/765,100.50
  6. Step 6: Final answer
    x = 1,495,417.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.