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Finding the Third Proportional to 492,918 and 1,035,588

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Solution

The third proportional to 492,918 and 1,035,588 is: 2,175,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,918 : 1,035,588 = 1,035,588 : x
  2. Step 2: Convert to fraction form
    492,918/1,035,588 = 1,035,588/x
  3. Step 3: Cross multiply
    492,918x = 1,035,588 × 1,035,588
  4. Step 4: Simplify right side
    492,918x = 1,072,442,505,744
  5. Step 5: Solve for x
    x = 1,072,442,505,744/492,918
  6. Step 6: Final answer
    x = 2,175,701.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.