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Finding the Third Proportional to 872,907 and 1,878,618

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Solution

The third proportional to 872,907 and 1,878,618 is: 4,043,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,907 : 1,878,618 = 1,878,618 : x
  2. Step 2: Convert to fraction form
    872,907/1,878,618 = 1,878,618/x
  3. Step 3: Cross multiply
    872,907x = 1,878,618 × 1,878,618
  4. Step 4: Simplify right side
    872,907x = 3,529,205,589,924
  5. Step 5: Solve for x
    x = 3,529,205,589,924/872,907
  6. Step 6: Final answer
    x = 4,043,048.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.