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Finding the Third Proportional to 684,148.50 and 1,456,875

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Solution

The third proportional to 684,148.50 and 1,456,875 is: 3,102,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,148.50 : 1,456,875 = 1,456,875 : x
  2. Step 2: Convert to fraction form
    684,148.50/1,456,875 = 1,456,875/x
  3. Step 3: Cross multiply
    684,148.50x = 1,456,875 × 1,456,875
  4. Step 4: Simplify right side
    684,148.50x = 2,122,484,765,625
  5. Step 5: Solve for x
    x = 2,122,484,765,625/684,148.50
  6. Step 6: Final answer
    x = 3,102,374.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.