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Finding the Third Proportional to 470,259,783 and 657,736,767

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Solution

The third proportional to 470,259,783 and 657,736,767 is: 919,954,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,259,783 : 657,736,767 = 657,736,767 : x
  2. Step 2: Convert to fraction form
    470,259,783/657,736,767 = 657,736,767/x
  3. Step 3: Cross multiply
    470,259,783x = 657,736,767 × 657,736,767
  4. Step 4: Simplify right side
    470,259,783x = 432,617,654,663,612,288
  5. Step 5: Solve for x
    x = 432,617,654,663,612,288/470,259,783
  6. Step 6: Final answer
    x = 919,954,608.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.