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Finding the Third Proportional to 758,046 and 1,649,724

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Solution

The third proportional to 758,046 and 1,649,724 is: 3,590,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,046 : 1,649,724 = 1,649,724 : x
  2. Step 2: Convert to fraction form
    758,046/1,649,724 = 1,649,724/x
  3. Step 3: Cross multiply
    758,046x = 1,649,724 × 1,649,724
  4. Step 4: Simplify right side
    758,046x = 2,721,589,276,176
  5. Step 5: Solve for x
    x = 2,721,589,276,176/758,046
  6. Step 6: Final answer
    x = 3,590,269.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.