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Finding the Third Proportional to 416,031.19 and 898,355.81

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Solution

The third proportional to 416,031.19 and 898,355.81 is: 1,939,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,031.19 : 898,355.81 = 898,355.81 : x
  2. Step 2: Convert to fraction form
    416,031.19/898,355.81 = 898,355.81/x
  3. Step 3: Cross multiply
    416,031.19x = 898,355.81 × 898,355.81
  4. Step 4: Simplify right side
    416,031.19x = 807,043,165,852.54
  5. Step 5: Solve for x
    x = 807,043,165,852.54/416,031.19
  6. Step 6: Final answer
    x = 1,939,862.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.