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Finding the Third Proportional to 515,165 and 1,106,506

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Solution

The third proportional to 515,165 and 1,106,506 is: 2,376,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,165 : 1,106,506 = 1,106,506 : x
  2. Step 2: Convert to fraction form
    515,165/1,106,506 = 1,106,506/x
  3. Step 3: Cross multiply
    515,165x = 1,106,506 × 1,106,506
  4. Step 4: Simplify right side
    515,165x = 1,224,355,528,036
  5. Step 5: Solve for x
    x = 1,224,355,528,036/515,165
  6. Step 6: Final answer
    x = 2,376,627.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.