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Finding the Third Proportional to 763,116 and 1,657,446

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Solution

The third proportional to 763,116 and 1,657,446 is: 3,599,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,116 : 1,657,446 = 1,657,446 : x
  2. Step 2: Convert to fraction form
    763,116/1,657,446 = 1,657,446/x
  3. Step 3: Cross multiply
    763,116x = 1,657,446 × 1,657,446
  4. Step 4: Simplify right side
    763,116x = 2,747,127,242,916
  5. Step 5: Solve for x
    x = 2,747,127,242,916/763,116
  6. Step 6: Final answer
    x = 3,599,881.59

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Why These Related Problems?

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