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Finding the Third Proportional to 917,024 and 1,992,160

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Solution

The third proportional to 917,024 and 1,992,160 is: 4,327,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,024 : 1,992,160 = 1,992,160 : x
  2. Step 2: Convert to fraction form
    917,024/1,992,160 = 1,992,160/x
  3. Step 3: Cross multiply
    917,024x = 1,992,160 × 1,992,160
  4. Step 4: Simplify right side
    917,024x = 3,968,701,465,600
  5. Step 5: Solve for x
    x = 3,968,701,465,600/917,024
  6. Step 6: Final answer
    x = 4,327,805.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.