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Finding the Third Proportional to 748,618 and 1,623,348

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Solution

The third proportional to 748,618 and 1,623,348 is: 3,520,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,618 : 1,623,348 = 1,623,348 : x
  2. Step 2: Convert to fraction form
    748,618/1,623,348 = 1,623,348/x
  3. Step 3: Cross multiply
    748,618x = 1,623,348 × 1,623,348
  4. Step 4: Simplify right side
    748,618x = 2,635,258,729,104
  5. Step 5: Solve for x
    x = 2,635,258,729,104/748,618
  6. Step 6: Final answer
    x = 3,520,164.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.