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Finding the Third Proportional to 675,290 and 1,577,633

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Solution

The third proportional to 675,290 and 1,577,633 is: 3,685,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,290 : 1,577,633 = 1,577,633 : x
  2. Step 2: Convert to fraction form
    675,290/1,577,633 = 1,577,633/x
  3. Step 3: Cross multiply
    675,290x = 1,577,633 × 1,577,633
  4. Step 4: Simplify right side
    675,290x = 2,488,925,882,689
  5. Step 5: Solve for x
    x = 2,488,925,882,689/675,290
  6. Step 6: Final answer
    x = 3,685,714.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.