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Finding the Third Proportional to 1,689,078.19 and 3,985,601.44

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Solution

The third proportional to 1,689,078.19 and 3,985,601.44 is: 9,404,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,078.19 : 3,985,601.44 = 3,985,601.44 : x
  2. Step 2: Convert to fraction form
    1,689,078.19/3,985,601.44 = 3,985,601.44/x
  3. Step 3: Cross multiply
    1,689,078.19x = 3,985,601.44 × 3,985,601.44
  4. Step 4: Simplify right side
    1,689,078.19x = 15,885,018,818,602.07
  5. Step 5: Solve for x
    x = 15,885,018,818,602.07/1,689,078.19
  6. Step 6: Final answer
    x = 9,404,549.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.