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Finding the Third Proportional to 415,746 and 898,020

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Solution

The third proportional to 415,746 and 898,020 is: 1,939,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,746 : 898,020 = 898,020 : x
  2. Step 2: Convert to fraction form
    415,746/898,020 = 898,020/x
  3. Step 3: Cross multiply
    415,746x = 898,020 × 898,020
  4. Step 4: Simplify right side
    415,746x = 806,439,920,400
  5. Step 5: Solve for x
    x = 806,439,920,400/415,746
  6. Step 6: Final answer
    x = 1,939,741.86

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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.