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Finding the Third Proportional to 1,035,358 and 2,224,410

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Solution

The third proportional to 1,035,358 and 2,224,410 is: 4,779,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,358 : 2,224,410 = 2,224,410 : x
  2. Step 2: Convert to fraction form
    1,035,358/2,224,410 = 2,224,410/x
  3. Step 3: Cross multiply
    1,035,358x = 2,224,410 × 2,224,410
  4. Step 4: Simplify right side
    1,035,358x = 4,947,999,848,100
  5. Step 5: Solve for x
    x = 4,947,999,848,100/1,035,358
  6. Step 6: Final answer
    x = 4,779,023.15

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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.