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Finding the Third Proportional to 648,152 and 1,014,444

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Solution

The third proportional to 648,152 and 1,014,444 is: 1,587,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,152 : 1,014,444 = 1,014,444 : x
  2. Step 2: Convert to fraction form
    648,152/1,014,444 = 1,014,444/x
  3. Step 3: Cross multiply
    648,152x = 1,014,444 × 1,014,444
  4. Step 4: Simplify right side
    648,152x = 1,029,096,629,136
  5. Step 5: Solve for x
    x = 1,029,096,629,136/648,152
  6. Step 6: Final answer
    x = 1,587,739.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.