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Finding the Third Proportional to 771,347 and 1,675,368

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Solution

The third proportional to 771,347 and 1,675,368 is: 3,638,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,347 : 1,675,368 = 1,675,368 : x
  2. Step 2: Convert to fraction form
    771,347/1,675,368 = 1,675,368/x
  3. Step 3: Cross multiply
    771,347x = 1,675,368 × 1,675,368
  4. Step 4: Simplify right side
    771,347x = 2,806,857,935,424
  5. Step 5: Solve for x
    x = 2,806,857,935,424/771,347
  6. Step 6: Final answer
    x = 3,638,904.33

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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.