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Finding the Third Proportional to 968,511 and 2,250,637.50

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Solution

The third proportional to 968,511 and 2,250,637.50 is: 5,230,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,511 : 2,250,637.50 = 2,250,637.50 : x
  2. Step 2: Convert to fraction form
    968,511/2,250,637.50 = 2,250,637.50/x
  3. Step 3: Cross multiply
    968,511x = 2,250,637.50 × 2,250,637.50
  4. Step 4: Simplify right side
    968,511x = 5,065,369,156,406.25
  5. Step 5: Solve for x
    x = 5,065,369,156,406.25/968,511
  6. Step 6: Final answer
    x = 5,230,058.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.