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Finding the Third Proportional to 663,291 and 1,559,133

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Solution

The third proportional to 663,291 and 1,559,133 is: 3,664,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,291 : 1,559,133 = 1,559,133 : x
  2. Step 2: Convert to fraction form
    663,291/1,559,133 = 1,559,133/x
  3. Step 3: Cross multiply
    663,291x = 1,559,133 × 1,559,133
  4. Step 4: Simplify right side
    663,291x = 2,430,895,711,689
  5. Step 5: Solve for x
    x = 2,430,895,711,689/663,291
  6. Step 6: Final answer
    x = 3,664,900.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.