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Finding the Third Proportional to 701,209 and 1,535,893

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Solution

The third proportional to 701,209 and 1,535,893 is: 3,364,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,209 : 1,535,893 = 1,535,893 : x
  2. Step 2: Convert to fraction form
    701,209/1,535,893 = 1,535,893/x
  3. Step 3: Cross multiply
    701,209x = 1,535,893 × 1,535,893
  4. Step 4: Simplify right side
    701,209x = 2,358,967,307,449
  5. Step 5: Solve for x
    x = 2,358,967,307,449/701,209
  6. Step 6: Final answer
    x = 3,364,142.94

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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.