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Finding the Third Proportional to 676,072 and 1,435,072

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Solution

The third proportional to 676,072 and 1,435,072 is: 3,046,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,072 : 1,435,072 = 1,435,072 : x
  2. Step 2: Convert to fraction form
    676,072/1,435,072 = 1,435,072/x
  3. Step 3: Cross multiply
    676,072x = 1,435,072 × 1,435,072
  4. Step 4: Simplify right side
    676,072x = 2,059,431,645,184
  5. Step 5: Solve for x
    x = 2,059,431,645,184/676,072
  6. Step 6: Final answer
    x = 3,046,172.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.