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Finding the Third Proportional to 2,048,498 and 4,475,348

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Solution

The third proportional to 2,048,498 and 4,475,348 is: 9,777,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,498 : 4,475,348 = 4,475,348 : x
  2. Step 2: Convert to fraction form
    2,048,498/4,475,348 = 4,475,348/x
  3. Step 3: Cross multiply
    2,048,498x = 4,475,348 × 4,475,348
  4. Step 4: Simplify right side
    2,048,498x = 20,028,739,721,104
  5. Step 5: Solve for x
    x = 20,028,739,721,104/2,048,498
  6. Step 6: Final answer
    x = 9,777,280.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.