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Finding the Third Proportional to 614,638 and 1,330,362

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Solution

The third proportional to 614,638 and 1,330,362 is: 2,879,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,638 : 1,330,362 = 1,330,362 : x
  2. Step 2: Convert to fraction form
    614,638/1,330,362 = 1,330,362/x
  3. Step 3: Cross multiply
    614,638x = 1,330,362 × 1,330,362
  4. Step 4: Simplify right side
    614,638x = 1,769,863,051,044
  5. Step 5: Solve for x
    x = 1,769,863,051,044/614,638
  6. Step 6: Final answer
    x = 2,879,521.04

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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.