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Finding the Third Proportional to 846,584 and 1,152,884

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Solution

The third proportional to 846,584 and 1,152,884 is: 1,570,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,584 : 1,152,884 = 1,152,884 : x
  2. Step 2: Convert to fraction form
    846,584/1,152,884 = 1,152,884/x
  3. Step 3: Cross multiply
    846,584x = 1,152,884 × 1,152,884
  4. Step 4: Simplify right side
    846,584x = 1,329,141,517,456
  5. Step 5: Solve for x
    x = 1,329,141,517,456/846,584
  6. Step 6: Final answer
    x = 1,570,005.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.