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Finding the Third Proportional to 648,144 and 1,014,432

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Solution

The third proportional to 648,144 and 1,014,432 is: 1,587,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,144 : 1,014,432 = 1,014,432 : x
  2. Step 2: Convert to fraction form
    648,144/1,014,432 = 1,014,432/x
  3. Step 3: Cross multiply
    648,144x = 1,014,432 × 1,014,432
  4. Step 4: Simplify right side
    648,144x = 1,029,072,282,624
  5. Step 5: Solve for x
    x = 1,029,072,282,624/648,144
  6. Step 6: Final answer
    x = 1,587,721.68

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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.