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Finding the Third Proportional to 655,875 and 1,434,384

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Solution

The third proportional to 655,875 and 1,434,384 is: 3,136,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,875 : 1,434,384 = 1,434,384 : x
  2. Step 2: Convert to fraction form
    655,875/1,434,384 = 1,434,384/x
  3. Step 3: Cross multiply
    655,875x = 1,434,384 × 1,434,384
  4. Step 4: Simplify right side
    655,875x = 2,057,457,459,456
  5. Step 5: Solve for x
    x = 2,057,457,459,456/655,875
  6. Step 6: Final answer
    x = 3,136,965.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.