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Finding the Third Proportional to 763,156 and 1,657,424

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Solution

The third proportional to 763,156 and 1,657,424 is: 3,599,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,156 : 1,657,424 = 1,657,424 : x
  2. Step 2: Convert to fraction form
    763,156/1,657,424 = 1,657,424/x
  3. Step 3: Cross multiply
    763,156x = 1,657,424 × 1,657,424
  4. Step 4: Simplify right side
    763,156x = 2,747,054,315,776
  5. Step 5: Solve for x
    x = 2,747,054,315,776/763,156
  6. Step 6: Final answer
    x = 3,599,597.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.