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Finding the Third Proportional to 510,308 and 1,098,618

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Solution

The third proportional to 510,308 and 1,098,618 is: 2,365,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,308 : 1,098,618 = 1,098,618 : x
  2. Step 2: Convert to fraction form
    510,308/1,098,618 = 1,098,618/x
  3. Step 3: Cross multiply
    510,308x = 1,098,618 × 1,098,618
  4. Step 4: Simplify right side
    510,308x = 1,206,961,509,924
  5. Step 5: Solve for x
    x = 1,206,961,509,924/510,308
  6. Step 6: Final answer
    x = 2,365,162.82

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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.