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Finding the Third Proportional to 997,702.50 and 1,521,465

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Solution

The third proportional to 997,702.50 and 1,521,465 is: 2,320,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,702.50 : 1,521,465 = 1,521,465 : x
  2. Step 2: Convert to fraction form
    997,702.50/1,521,465 = 1,521,465/x
  3. Step 3: Cross multiply
    997,702.50x = 1,521,465 × 1,521,465
  4. Step 4: Simplify right side
    997,702.50x = 2,314,855,746,225
  5. Step 5: Solve for x
    x = 2,314,855,746,225/997,702.50
  6. Step 6: Final answer
    x = 2,320,186.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.