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Finding the Third Proportional to 1,046,455 and 1,569,683

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Solution

The third proportional to 1,046,455 and 1,569,683 is: 2,354,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,455 : 1,569,683 = 1,569,683 : x
  2. Step 2: Convert to fraction form
    1,046,455/1,569,683 = 1,569,683/x
  3. Step 3: Cross multiply
    1,046,455x = 1,569,683 × 1,569,683
  4. Step 4: Simplify right side
    1,046,455x = 2,463,904,720,489
  5. Step 5: Solve for x
    x = 2,463,904,720,489/1,046,455
  6. Step 6: Final answer
    x = 2,354,525.25

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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.