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Finding the Third Proportional to 931,700 and 1,985,416

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Solution

The third proportional to 931,700 and 1,985,416 is: 4,230,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,700 : 1,985,416 = 1,985,416 : x
  2. Step 2: Convert to fraction form
    931,700/1,985,416 = 1,985,416/x
  3. Step 3: Cross multiply
    931,700x = 1,985,416 × 1,985,416
  4. Step 4: Simplify right side
    931,700x = 3,941,876,693,056
  5. Step 5: Solve for x
    x = 3,941,876,693,056/931,700
  6. Step 6: Final answer
    x = 4,230,843.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.