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Finding the Third Proportional to 878,624 and 1,918,358

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Solution

The third proportional to 878,624 and 1,918,358 is: 4,188,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,624 : 1,918,358 = 1,918,358 : x
  2. Step 2: Convert to fraction form
    878,624/1,918,358 = 1,918,358/x
  3. Step 3: Cross multiply
    878,624x = 1,918,358 × 1,918,358
  4. Step 4: Simplify right side
    878,624x = 3,680,097,416,164
  5. Step 5: Solve for x
    x = 3,680,097,416,164/878,624
  6. Step 6: Final answer
    x = 4,188,478.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.