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Finding the Third Proportional to 717,648 and 1,509,648

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Solution

The third proportional to 717,648 and 1,509,648 is: 3,175,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,648 : 1,509,648 = 1,509,648 : x
  2. Step 2: Convert to fraction form
    717,648/1,509,648 = 1,509,648/x
  3. Step 3: Cross multiply
    717,648x = 1,509,648 × 1,509,648
  4. Step 4: Simplify right side
    717,648x = 2,279,037,083,904
  5. Step 5: Solve for x
    x = 2,279,037,083,904/717,648
  6. Step 6: Final answer
    x = 3,175,703.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.