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Finding the Third Proportional to 495,414 and 1,076,909.63

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Solution

The third proportional to 495,414 and 1,076,909.63 is: 2,340,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,414 : 1,076,909.63 = 1,076,909.63 : x
  2. Step 2: Convert to fraction form
    495,414/1,076,909.63 = 1,076,909.63/x
  3. Step 3: Cross multiply
    495,414x = 1,076,909.63 × 1,076,909.63
  4. Step 4: Simplify right side
    495,414x = 1,159,734,340,417.64
  5. Step 5: Solve for x
    x = 1,159,734,340,417.64/495,414
  6. Step 6: Final answer
    x = 2,340,939.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.