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Finding the Third Proportional to 1,046,459 and 1,569,689

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Solution

The third proportional to 1,046,459 and 1,569,689 is: 2,354,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,459 : 1,569,689 = 1,569,689 : x
  2. Step 2: Convert to fraction form
    1,046,459/1,569,689 = 1,569,689/x
  3. Step 3: Cross multiply
    1,046,459x = 1,569,689 × 1,569,689
  4. Step 4: Simplify right side
    1,046,459x = 2,463,923,556,721
  5. Step 5: Solve for x
    x = 2,463,923,556,721/1,046,459
  6. Step 6: Final answer
    x = 2,354,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.