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Finding the Third Proportional to 2,596,083 and 5,681,562

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Solution

The third proportional to 2,596,083 and 5,681,562 is: 12,434,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,083 : 5,681,562 = 5,681,562 : x
  2. Step 2: Convert to fraction form
    2,596,083/5,681,562 = 5,681,562/x
  3. Step 3: Cross multiply
    2,596,083x = 5,681,562 × 5,681,562
  4. Step 4: Simplify right side
    2,596,083x = 32,280,146,759,844
  5. Step 5: Solve for x
    x = 32,280,146,759,844/2,596,083
  6. Step 6: Final answer
    x = 12,434,173.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.