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Finding the Third Proportional to 415,008 and 908,160

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Solution

The third proportional to 415,008 and 908,160 is: 1,987,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,008 : 908,160 = 908,160 : x
  2. Step 2: Convert to fraction form
    415,008/908,160 = 908,160/x
  3. Step 3: Cross multiply
    415,008x = 908,160 × 908,160
  4. Step 4: Simplify right side
    415,008x = 824,754,585,600
  5. Step 5: Solve for x
    x = 824,754,585,600/415,008
  6. Step 6: Final answer
    x = 1,987,322.14

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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.