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Finding the Third Proportional to 415,752 and 898,032

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Solution

The third proportional to 415,752 and 898,032 is: 1,939,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,752 : 898,032 = 898,032 : x
  2. Step 2: Convert to fraction form
    415,752/898,032 = 898,032/x
  3. Step 3: Cross multiply
    415,752x = 898,032 × 898,032
  4. Step 4: Simplify right side
    415,752x = 806,461,473,024
  5. Step 5: Solve for x
    x = 806,461,473,024/415,752
  6. Step 6: Final answer
    x = 1,939,765.71

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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.