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Finding the Third Proportional to 657,618 and 990,771.75

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Solution

The third proportional to 657,618 and 990,771.75 is: 1,492,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,618 : 990,771.75 = 990,771.75 : x
  2. Step 2: Convert to fraction form
    657,618/990,771.75 = 990,771.75/x
  3. Step 3: Cross multiply
    657,618x = 990,771.75 × 990,771.75
  4. Step 4: Simplify right side
    657,618x = 981,628,660,598.06
  5. Step 5: Solve for x
    x = 981,628,660,598.06/657,618
  6. Step 6: Final answer
    x = 1,492,703.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.