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Finding the Third Proportional to 690,601.50 and 1,046,565

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Solution

The third proportional to 690,601.50 and 1,046,565 is: 1,586,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,601.50 : 1,046,565 = 1,046,565 : x
  2. Step 2: Convert to fraction form
    690,601.50/1,046,565 = 1,046,565/x
  3. Step 3: Cross multiply
    690,601.50x = 1,046,565 × 1,046,565
  4. Step 4: Simplify right side
    690,601.50x = 1,095,298,299,225
  5. Step 5: Solve for x
    x = 1,095,298,299,225/690,601.50
  6. Step 6: Final answer
    x = 1,586,006.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.