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Finding the Third Proportional to 968,240 and 2,047,297

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Solution

The third proportional to 968,240 and 2,047,297 is: 4,328,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,240 : 2,047,297 = 2,047,297 : x
  2. Step 2: Convert to fraction form
    968,240/2,047,297 = 2,047,297/x
  3. Step 3: Cross multiply
    968,240x = 2,047,297 × 2,047,297
  4. Step 4: Simplify right side
    968,240x = 4,191,425,006,209
  5. Step 5: Solve for x
    x = 4,191,425,006,209/968,240
  6. Step 6: Final answer
    x = 4,328,911.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.