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Finding the Third Proportional to 495,644 and 1,055,224

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Solution

The third proportional to 495,644 and 1,055,224 is: 2,246,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,644 : 1,055,224 = 1,055,224 : x
  2. Step 2: Convert to fraction form
    495,644/1,055,224 = 1,055,224/x
  3. Step 3: Cross multiply
    495,644x = 1,055,224 × 1,055,224
  4. Step 4: Simplify right side
    495,644x = 1,113,497,690,176
  5. Step 5: Solve for x
    x = 1,113,497,690,176/495,644
  6. Step 6: Final answer
    x = 2,246,567.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.