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Finding the Third Proportional to 495,240 and 1,069,296

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Solution

The third proportional to 495,240 and 1,069,296 is: 2,308,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,240 : 1,069,296 = 1,069,296 : x
  2. Step 2: Convert to fraction form
    495,240/1,069,296 = 1,069,296/x
  3. Step 3: Cross multiply
    495,240x = 1,069,296 × 1,069,296
  4. Step 4: Simplify right side
    495,240x = 1,143,393,935,616
  5. Step 5: Solve for x
    x = 1,143,393,935,616/495,240
  6. Step 6: Final answer
    x = 2,308,767.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.