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Finding the Third Proportional to 722,709 and 1,502,764.50

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Solution

The third proportional to 722,709 and 1,502,764.50 is: 3,124,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,709 : 1,502,764.50 = 1,502,764.50 : x
  2. Step 2: Convert to fraction form
    722,709/1,502,764.50 = 1,502,764.50/x
  3. Step 3: Cross multiply
    722,709x = 1,502,764.50 × 1,502,764.50
  4. Step 4: Simplify right side
    722,709x = 2,258,301,142,460.25
  5. Step 5: Solve for x
    x = 2,258,301,142,460.25/722,709
  6. Step 6: Final answer
    x = 3,124,772.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.