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Finding the Third Proportional to 738,148 and 1,594,664

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Solution

The third proportional to 738,148 and 1,594,664 is: 3,445,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,148 : 1,594,664 = 1,594,664 : x
  2. Step 2: Convert to fraction form
    738,148/1,594,664 = 1,594,664/x
  3. Step 3: Cross multiply
    738,148x = 1,594,664 × 1,594,664
  4. Step 4: Simplify right side
    738,148x = 2,542,953,272,896
  5. Step 5: Solve for x
    x = 2,542,953,272,896/738,148
  6. Step 6: Final answer
    x = 3,445,045.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.