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Finding the Third Proportional to 410,628,754 and 855,223,724

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Solution

The third proportional to 410,628,754 and 855,223,724 is: 1,781,189,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,628,754 : 855,223,724 = 855,223,724 : x
  2. Step 2: Convert to fraction form
    410,628,754/855,223,724 = 855,223,724/x
  3. Step 3: Cross multiply
    410,628,754x = 855,223,724 × 855,223,724
  4. Step 4: Simplify right side
    410,628,754x = 731,407,618,092,428,160
  5. Step 5: Solve for x
    x = 731,407,618,092,428,160/410,628,754
  6. Step 6: Final answer
    x = 1,781,189,483.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.