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Finding the Third Proportional to 495,978 and 1,080,528

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Solution

The third proportional to 495,978 and 1,080,528 is: 2,354,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,978 : 1,080,528 = 1,080,528 : x
  2. Step 2: Convert to fraction form
    495,978/1,080,528 = 1,080,528/x
  3. Step 3: Cross multiply
    495,978x = 1,080,528 × 1,080,528
  4. Step 4: Simplify right side
    495,978x = 1,167,540,758,784
  5. Step 5: Solve for x
    x = 1,167,540,758,784/495,978
  6. Step 6: Final answer
    x = 2,354,017.23

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