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Finding the Third Proportional to 749,712 and 1,610,229

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Solution

The third proportional to 749,712 and 1,610,229 is: 3,458,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,712 : 1,610,229 = 1,610,229 : x
  2. Step 2: Convert to fraction form
    749,712/1,610,229 = 1,610,229/x
  3. Step 3: Cross multiply
    749,712x = 1,610,229 × 1,610,229
  4. Step 4: Simplify right side
    749,712x = 2,592,837,432,441
  5. Step 5: Solve for x
    x = 2,592,837,432,441/749,712
  6. Step 6: Final answer
    x = 3,458,444.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.