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Finding the Third Proportional to 2,398,779 and 5,662,701

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Solution

The third proportional to 2,398,779 and 5,662,701 is: 13,367,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,779 : 5,662,701 = 5,662,701 : x
  2. Step 2: Convert to fraction form
    2,398,779/5,662,701 = 5,662,701/x
  3. Step 3: Cross multiply
    2,398,779x = 5,662,701 × 5,662,701
  4. Step 4: Simplify right side
    2,398,779x = 32,066,182,615,401
  5. Step 5: Solve for x
    x = 32,066,182,615,401/2,398,779
  6. Step 6: Final answer
    x = 13,367,710.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.