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Finding the Third Proportional to 672,618 and 1,021,383

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Solution

The third proportional to 672,618 and 1,021,383 is: 1,550,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,618 : 1,021,383 = 1,021,383 : x
  2. Step 2: Convert to fraction form
    672,618/1,021,383 = 1,021,383/x
  3. Step 3: Cross multiply
    672,618x = 1,021,383 × 1,021,383
  4. Step 4: Simplify right side
    672,618x = 1,043,223,232,689
  5. Step 5: Solve for x
    x = 1,043,223,232,689/672,618
  6. Step 6: Final answer
    x = 1,550,989.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.