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Finding the Third Proportional to 1,596,068 and 3,502,286

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Solution

The third proportional to 1,596,068 and 3,502,286 is: 7,685,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,068 : 3,502,286 = 3,502,286 : x
  2. Step 2: Convert to fraction form
    1,596,068/3,502,286 = 3,502,286/x
  3. Step 3: Cross multiply
    1,596,068x = 3,502,286 × 3,502,286
  4. Step 4: Simplify right side
    1,596,068x = 12,266,007,225,796
  5. Step 5: Solve for x
    x = 12,266,007,225,796/1,596,068
  6. Step 6: Final answer
    x = 7,685,140.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.