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Finding the Third Proportional to 761,174 and 1,657,958

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Solution

The third proportional to 761,174 and 1,657,958 is: 3,611,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,174 : 1,657,958 = 1,657,958 : x
  2. Step 2: Convert to fraction form
    761,174/1,657,958 = 1,657,958/x
  3. Step 3: Cross multiply
    761,174x = 1,657,958 × 1,657,958
  4. Step 4: Simplify right side
    761,174x = 2,748,824,729,764
  5. Step 5: Solve for x
    x = 2,748,824,729,764/761,174
  6. Step 6: Final answer
    x = 3,611,296.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.