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Finding the Third Proportional to 746,123.91 and 1,611,374.77

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Solution

The third proportional to 746,123.91 and 1,611,374.77 is: 3,480,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,123.91 : 1,611,374.77 = 1,611,374.77 : x
  2. Step 2: Convert to fraction form
    746,123.91/1,611,374.77 = 1,611,374.77/x
  3. Step 3: Cross multiply
    746,123.91x = 1,611,374.77 × 1,611,374.77
  4. Step 4: Simplify right side
    746,123.91x = 2,596,528,635,293.02
  5. Step 5: Solve for x
    x = 2,596,528,635,293.02/746,123.91
  6. Step 6: Final answer
    x = 3,480,023.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.