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Finding the Third Proportional to 806,582 and 1,238,072

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Solution

The third proportional to 806,582 and 1,238,072 is: 1,900,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,582 : 1,238,072 = 1,238,072 : x
  2. Step 2: Convert to fraction form
    806,582/1,238,072 = 1,238,072/x
  3. Step 3: Cross multiply
    806,582x = 1,238,072 × 1,238,072
  4. Step 4: Simplify right side
    806,582x = 1,532,822,277,184
  5. Step 5: Solve for x
    x = 1,532,822,277,184/806,582
  6. Step 6: Final answer
    x = 1,900,392.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.