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Finding the Third Proportional to 775,531 and 1,164,117

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Solution

The third proportional to 775,531 and 1,164,117 is: 1,747,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,531 : 1,164,117 = 1,164,117 : x
  2. Step 2: Convert to fraction form
    775,531/1,164,117 = 1,164,117/x
  3. Step 3: Cross multiply
    775,531x = 1,164,117 × 1,164,117
  4. Step 4: Simplify right side
    775,531x = 1,355,168,389,689
  5. Step 5: Solve for x
    x = 1,355,168,389,689/775,531
  6. Step 6: Final answer
    x = 1,747,407.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.