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Finding the Third Proportional to 699,850 and 1,535,293

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Solution

The third proportional to 699,850 and 1,535,293 is: 3,368,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,850 : 1,535,293 = 1,535,293 : x
  2. Step 2: Convert to fraction form
    699,850/1,535,293 = 1,535,293/x
  3. Step 3: Cross multiply
    699,850x = 1,535,293 × 1,535,293
  4. Step 4: Simplify right side
    699,850x = 2,357,124,595,849
  5. Step 5: Solve for x
    x = 2,357,124,595,849/699,850
  6. Step 6: Final answer
    x = 3,368,042.57

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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.