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Finding the Third Proportional to 468,749 and 970,728

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Solution

The third proportional to 468,749 and 970,728 is: 2,010,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,749 : 970,728 = 970,728 : x
  2. Step 2: Convert to fraction form
    468,749/970,728 = 970,728/x
  3. Step 3: Cross multiply
    468,749x = 970,728 × 970,728
  4. Step 4: Simplify right side
    468,749x = 942,312,849,984
  5. Step 5: Solve for x
    x = 942,312,849,984/468,749
  6. Step 6: Final answer
    x = 2,010,271.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.