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Finding the Third Proportional to 748,233 and 1,636,434

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Solution

The third proportional to 748,233 and 1,636,434 is: 3,578,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,233 : 1,636,434 = 1,636,434 : x
  2. Step 2: Convert to fraction form
    748,233/1,636,434 = 1,636,434/x
  3. Step 3: Cross multiply
    748,233x = 1,636,434 × 1,636,434
  4. Step 4: Simplify right side
    748,233x = 2,677,916,236,356
  5. Step 5: Solve for x
    x = 2,677,916,236,356/748,233
  6. Step 6: Final answer
    x = 3,578,987.08

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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.