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Finding the Third Proportional to 415,748 and 898,024

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Solution

The third proportional to 415,748 and 898,024 is: 1,939,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,748 : 898,024 = 898,024 : x
  2. Step 2: Convert to fraction form
    415,748/898,024 = 898,024/x
  3. Step 3: Cross multiply
    415,748x = 898,024 × 898,024
  4. Step 4: Simplify right side
    415,748x = 806,447,104,576
  5. Step 5: Solve for x
    x = 806,447,104,576/415,748
  6. Step 6: Final answer
    x = 1,939,749.81

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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.