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Finding the Third Proportional to 1,046,447 and 1,569,671

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Solution

The third proportional to 1,046,447 and 1,569,671 is: 2,354,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,447 : 1,569,671 = 1,569,671 : x
  2. Step 2: Convert to fraction form
    1,046,447/1,569,671 = 1,569,671/x
  3. Step 3: Cross multiply
    1,046,447x = 1,569,671 × 1,569,671
  4. Step 4: Simplify right side
    1,046,447x = 2,463,867,048,241
  5. Step 5: Solve for x
    x = 2,463,867,048,241/1,046,447
  6. Step 6: Final answer
    x = 2,354,507.25

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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.