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Finding the Third Proportional to 1,025,308 and 2,243,618

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Solution

The third proportional to 1,025,308 and 2,243,618 is: 4,909,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,308 : 2,243,618 = 2,243,618 : x
  2. Step 2: Convert to fraction form
    1,025,308/2,243,618 = 2,243,618/x
  3. Step 3: Cross multiply
    1,025,308x = 2,243,618 × 2,243,618
  4. Step 4: Simplify right side
    1,025,308x = 5,033,821,729,924
  5. Step 5: Solve for x
    x = 5,033,821,729,924/1,025,308
  6. Step 6: Final answer
    x = 4,909,570.32

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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.