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Finding the Third Proportional to 897,909 and 1,346,821.50

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Solution

The third proportional to 897,909 and 1,346,821.50 is: 2,020,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,909 : 1,346,821.50 = 1,346,821.50 : x
  2. Step 2: Convert to fraction form
    897,909/1,346,821.50 = 1,346,821.50/x
  3. Step 3: Cross multiply
    897,909x = 1,346,821.50 × 1,346,821.50
  4. Step 4: Simplify right side
    897,909x = 1,813,928,152,862.25
  5. Step 5: Solve for x
    x = 1,813,928,152,862.25/897,909
  6. Step 6: Final answer
    x = 2,020,169.25

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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.