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Finding the Third Proportional to 472,525 and 1,010,618

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Solution

The third proportional to 472,525 and 1,010,618 is: 2,161,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,525 : 1,010,618 = 1,010,618 : x
  2. Step 2: Convert to fraction form
    472,525/1,010,618 = 1,010,618/x
  3. Step 3: Cross multiply
    472,525x = 1,010,618 × 1,010,618
  4. Step 4: Simplify right side
    472,525x = 1,021,348,741,924
  5. Step 5: Solve for x
    x = 1,021,348,741,924/472,525
  6. Step 6: Final answer
    x = 2,161,470.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.