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Finding the Third Proportional to 739,752 and 1,086,297

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Solution

The third proportional to 739,752 and 1,086,297 is: 1,595,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,752 : 1,086,297 = 1,086,297 : x
  2. Step 2: Convert to fraction form
    739,752/1,086,297 = 1,086,297/x
  3. Step 3: Cross multiply
    739,752x = 1,086,297 × 1,086,297
  4. Step 4: Simplify right side
    739,752x = 1,180,041,172,209
  5. Step 5: Solve for x
    x = 1,180,041,172,209/739,752
  6. Step 6: Final answer
    x = 1,595,184.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.