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Finding the Third Proportional to 1,648,582 and 3,474,284

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Solution

The third proportional to 1,648,582 and 3,474,284 is: 7,321,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,582 : 3,474,284 = 3,474,284 : x
  2. Step 2: Convert to fraction form
    1,648,582/3,474,284 = 3,474,284/x
  3. Step 3: Cross multiply
    1,648,582x = 3,474,284 × 3,474,284
  4. Step 4: Simplify right side
    1,648,582x = 12,070,649,312,656
  5. Step 5: Solve for x
    x = 12,070,649,312,656/1,648,582
  6. Step 6: Final answer
    x = 7,321,837.38

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.