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Finding the Third Proportional to 655,457,709 and 1,404,407,424

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Solution

The third proportional to 655,457,709 and 1,404,407,424 is: 3,009,134,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,457,709 : 1,404,407,424 = 1,404,407,424 : x
  2. Step 2: Convert to fraction form
    655,457,709/1,404,407,424 = 1,404,407,424/x
  3. Step 3: Cross multiply
    655,457,709x = 1,404,407,424 × 1,404,407,424
  4. Step 4: Simplify right side
    655,457,709x = 1,972,360,212,586,315,776
  5. Step 5: Solve for x
    x = 1,972,360,212,586,315,776/655,457,709
  6. Step 6: Final answer
    x = 3,009,134,205.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.