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Finding the Third Proportional to 495,034 and 1,078,952

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Solution

The third proportional to 495,034 and 1,078,952 is: 2,351,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,034 : 1,078,952 = 1,078,952 : x
  2. Step 2: Convert to fraction form
    495,034/1,078,952 = 1,078,952/x
  3. Step 3: Cross multiply
    495,034x = 1,078,952 × 1,078,952
  4. Step 4: Simplify right side
    495,034x = 1,164,137,418,304
  5. Step 5: Solve for x
    x = 1,164,137,418,304/495,034
  6. Step 6: Final answer
    x = 2,351,631.24

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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.