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Finding the Third Proportional to 766,428 and 1,612,254

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Solution

The third proportional to 766,428 and 1,612,254 is: 3,391,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,428 : 1,612,254 = 1,612,254 : x
  2. Step 2: Convert to fraction form
    766,428/1,612,254 = 1,612,254/x
  3. Step 3: Cross multiply
    766,428x = 1,612,254 × 1,612,254
  4. Step 4: Simplify right side
    766,428x = 2,599,362,960,516
  5. Step 5: Solve for x
    x = 2,599,362,960,516/766,428
  6. Step 6: Final answer
    x = 3,391,529.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.