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Finding the Third Proportional to 1,688,583 and 3,445,935

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Solution

The third proportional to 1,688,583 and 3,445,935 is: 7,032,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,583 : 3,445,935 = 3,445,935 : x
  2. Step 2: Convert to fraction form
    1,688,583/3,445,935 = 3,445,935/x
  3. Step 3: Cross multiply
    1,688,583x = 3,445,935 × 3,445,935
  4. Step 4: Simplify right side
    1,688,583x = 11,874,468,024,225
  5. Step 5: Solve for x
    x = 11,874,468,024,225/1,688,583
  6. Step 6: Final answer
    x = 7,032,208.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.