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Finding the Third Proportional to 574,637 and 1,165,678

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Solution

The third proportional to 574,637 and 1,165,678 is: 2,364,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,637 : 1,165,678 = 1,165,678 : x
  2. Step 2: Convert to fraction form
    574,637/1,165,678 = 1,165,678/x
  3. Step 3: Cross multiply
    574,637x = 1,165,678 × 1,165,678
  4. Step 4: Simplify right side
    574,637x = 1,358,805,199,684
  5. Step 5: Solve for x
    x = 1,358,805,199,684/574,637
  6. Step 6: Final answer
    x = 2,364,632.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.