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Finding the Third Proportional to 897,398 and 1,346,752

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Solution

The third proportional to 897,398 and 1,346,752 is: 2,021,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,398 : 1,346,752 = 1,346,752 : x
  2. Step 2: Convert to fraction form
    897,398/1,346,752 = 1,346,752/x
  3. Step 3: Cross multiply
    897,398x = 1,346,752 × 1,346,752
  4. Step 4: Simplify right side
    897,398x = 1,813,740,949,504
  5. Step 5: Solve for x
    x = 1,813,740,949,504/897,398
  6. Step 6: Final answer
    x = 2,021,110.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.