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Finding the Third Proportional to 690,524 and 1,506,580

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Solution

The third proportional to 690,524 and 1,506,580 is: 3,287,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,524 : 1,506,580 = 1,506,580 : x
  2. Step 2: Convert to fraction form
    690,524/1,506,580 = 1,506,580/x
  3. Step 3: Cross multiply
    690,524x = 1,506,580 × 1,506,580
  4. Step 4: Simplify right side
    690,524x = 2,269,783,296,400
  5. Step 5: Solve for x
    x = 2,269,783,296,400/690,524
  6. Step 6: Final answer
    x = 3,287,044.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.