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Finding the Third Proportional to 1,625,169 and 3,500,082

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Solution

The third proportional to 1,625,169 and 3,500,082 is: 7,538,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625,169 : 3,500,082 = 3,500,082 : x
  2. Step 2: Convert to fraction form
    1,625,169/3,500,082 = 3,500,082/x
  3. Step 3: Cross multiply
    1,625,169x = 3,500,082 × 3,500,082
  4. Step 4: Simplify right side
    1,625,169x = 12,250,574,006,724
  5. Step 5: Solve for x
    x = 12,250,574,006,724/1,625,169
  6. Step 6: Final answer
    x = 7,538,030.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.