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Finding the Third Proportional to 4,383,768 and 6,878,539

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Solution

The third proportional to 4,383,768 and 6,878,539 is: 10,793,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383,768 : 6,878,539 = 6,878,539 : x
  2. Step 2: Convert to fraction form
    4,383,768/6,878,539 = 6,878,539/x
  3. Step 3: Cross multiply
    4,383,768x = 6,878,539 × 6,878,539
  4. Step 4: Simplify right side
    4,383,768x = 47,314,298,774,521
  5. Step 5: Solve for x
    x = 47,314,298,774,521/4,383,768
  6. Step 6: Final answer
    x = 10,793,066.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.