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Finding the Third Proportional to 1,663,072 and 2,678,352

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Solution

The third proportional to 1,663,072 and 2,678,352 is: 4,313,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,072 : 2,678,352 = 2,678,352 : x
  2. Step 2: Convert to fraction form
    1,663,072/2,678,352 = 2,678,352/x
  3. Step 3: Cross multiply
    1,663,072x = 2,678,352 × 2,678,352
  4. Step 4: Simplify right side
    1,663,072x = 7,173,569,435,904
  5. Step 5: Solve for x
    x = 7,173,569,435,904/1,663,072
  6. Step 6: Final answer
    x = 4,313,444.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.