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Finding the Third Proportional to 738,746 and 1,617,618

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Solution

The third proportional to 738,746 and 1,617,618 is: 3,542,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,746 : 1,617,618 = 1,617,618 : x
  2. Step 2: Convert to fraction form
    738,746/1,617,618 = 1,617,618/x
  3. Step 3: Cross multiply
    738,746x = 1,617,618 × 1,617,618
  4. Step 4: Simplify right side
    738,746x = 2,616,687,993,924
  5. Step 5: Solve for x
    x = 2,616,687,993,924/738,746
  6. Step 6: Final answer
    x = 3,542,067.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.