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Finding the Third Proportional to 1,638,526 and 3,355,784

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Solution

The third proportional to 1,638,526 and 3,355,784 is: 6,872,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,526 : 3,355,784 = 3,355,784 : x
  2. Step 2: Convert to fraction form
    1,638,526/3,355,784 = 3,355,784/x
  3. Step 3: Cross multiply
    1,638,526x = 3,355,784 × 3,355,784
  4. Step 4: Simplify right side
    1,638,526x = 11,261,286,254,656
  5. Step 5: Solve for x
    x = 11,261,286,254,656/1,638,526
  6. Step 6: Final answer
    x = 6,872,815.11

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.