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Finding the Third Proportional to 804,920 and 1,749,613

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Solution

The third proportional to 804,920 and 1,749,613 is: 3,803,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,920 : 1,749,613 = 1,749,613 : x
  2. Step 2: Convert to fraction form
    804,920/1,749,613 = 1,749,613/x
  3. Step 3: Cross multiply
    804,920x = 1,749,613 × 1,749,613
  4. Step 4: Simplify right side
    804,920x = 3,061,145,649,769
  5. Step 5: Solve for x
    x = 3,061,145,649,769/804,920
  6. Step 6: Final answer
    x = 3,803,043.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.