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Finding the Third Proportional to 623,114 and 1,355,578

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Solution

The third proportional to 623,114 and 1,355,578 is: 2,949,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,114 : 1,355,578 = 1,355,578 : x
  2. Step 2: Convert to fraction form
    623,114/1,355,578 = 1,355,578/x
  3. Step 3: Cross multiply
    623,114x = 1,355,578 × 1,355,578
  4. Step 4: Simplify right side
    623,114x = 1,837,591,714,084
  5. Step 5: Solve for x
    x = 1,837,591,714,084/623,114
  6. Step 6: Final answer
    x = 2,949,045.78

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Why These Related Problems?

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