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Finding the Third Proportional to 997,528 and 2,152,520

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Solution

The third proportional to 997,528 and 2,152,520 is: 4,644,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,528 : 2,152,520 = 2,152,520 : x
  2. Step 2: Convert to fraction form
    997,528/2,152,520 = 2,152,520/x
  3. Step 3: Cross multiply
    997,528x = 2,152,520 × 2,152,520
  4. Step 4: Simplify right side
    997,528x = 4,633,342,350,400
  5. Step 5: Solve for x
    x = 4,633,342,350,400/997,528
  6. Step 6: Final answer
    x = 4,644,824.36

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