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Finding the Third Proportional to 1,688,129 and 3,904,664

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Solution

The third proportional to 1,688,129 and 3,904,664 is: 9,031,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,129 : 3,904,664 = 3,904,664 : x
  2. Step 2: Convert to fraction form
    1,688,129/3,904,664 = 3,904,664/x
  3. Step 3: Cross multiply
    1,688,129x = 3,904,664 × 3,904,664
  4. Step 4: Simplify right side
    1,688,129x = 15,246,400,952,896
  5. Step 5: Solve for x
    x = 15,246,400,952,896/1,688,129
  6. Step 6: Final answer
    x = 9,031,537.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.