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Finding the Third Proportional to 761,188.50 and 1,657,989

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Solution

The third proportional to 761,188.50 and 1,657,989 is: 3,611,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,188.50 : 1,657,989 = 1,657,989 : x
  2. Step 2: Convert to fraction form
    761,188.50/1,657,989 = 1,657,989/x
  3. Step 3: Cross multiply
    761,188.50x = 1,657,989 × 1,657,989
  4. Step 4: Simplify right side
    761,188.50x = 2,748,927,524,121
  5. Step 5: Solve for x
    x = 2,748,927,524,121/761,188.50
  6. Step 6: Final answer
    x = 3,611,362.39

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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.