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Finding the Third Proportional to 410,735 and 898,769

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Solution

The third proportional to 410,735 and 898,769 is: 1,966,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,735 : 898,769 = 898,769 : x
  2. Step 2: Convert to fraction form
    410,735/898,769 = 898,769/x
  3. Step 3: Cross multiply
    410,735x = 898,769 × 898,769
  4. Step 4: Simplify right side
    410,735x = 807,785,715,361
  5. Step 5: Solve for x
    x = 807,785,715,361/410,735
  6. Step 6: Final answer
    x = 1,966,683.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.