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Finding the Third Proportional to 1,597,707 and 2,247,297

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Solution

The third proportional to 1,597,707 and 2,247,297 is: 3,160,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,707 : 2,247,297 = 2,247,297 : x
  2. Step 2: Convert to fraction form
    1,597,707/2,247,297 = 2,247,297/x
  3. Step 3: Cross multiply
    1,597,707x = 2,247,297 × 2,247,297
  4. Step 4: Simplify right side
    1,597,707x = 5,050,343,806,209
  5. Step 5: Solve for x
    x = 5,050,343,806,209/1,597,707
  6. Step 6: Final answer
    x = 3,160,994.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.