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Finding the Third Proportional to 997,526 and 2,152,516

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Solution

The third proportional to 997,526 and 2,152,516 is: 4,644,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,526 : 2,152,516 = 2,152,516 : x
  2. Step 2: Convert to fraction form
    997,526/2,152,516 = 2,152,516/x
  3. Step 3: Cross multiply
    997,526x = 2,152,516 × 2,152,516
  4. Step 4: Simplify right side
    997,526x = 4,633,325,130,256
  5. Step 5: Solve for x
    x = 4,633,325,130,256/997,526
  6. Step 6: Final answer
    x = 4,644,816.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.