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Finding the Third Proportional to 1,061,584 and 1,643,784

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Solution

The third proportional to 1,061,584 and 1,643,784 is: 2,545,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,584 : 1,643,784 = 1,643,784 : x
  2. Step 2: Convert to fraction form
    1,061,584/1,643,784 = 1,643,784/x
  3. Step 3: Cross multiply
    1,061,584x = 1,643,784 × 1,643,784
  4. Step 4: Simplify right side
    1,061,584x = 2,702,025,838,656
  5. Step 5: Solve for x
    x = 2,702,025,838,656/1,061,584
  6. Step 6: Final answer
    x = 2,545,277.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.