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Finding the Third Proportional to 690,336 and 1,484,784

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Solution

The third proportional to 690,336 and 1,484,784 is: 3,193,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,336 : 1,484,784 = 1,484,784 : x
  2. Step 2: Convert to fraction form
    690,336/1,484,784 = 1,484,784/x
  3. Step 3: Cross multiply
    690,336x = 1,484,784 × 1,484,784
  4. Step 4: Simplify right side
    690,336x = 2,204,583,526,656
  5. Step 5: Solve for x
    x = 2,204,583,526,656/690,336
  6. Step 6: Final answer
    x = 3,193,493.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.