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Finding the Third Proportional to 897,907 and 1,346,820

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Solution

The third proportional to 897,907 and 1,346,820 is: 2,020,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,907 : 1,346,820 = 1,346,820 : x
  2. Step 2: Convert to fraction form
    897,907/1,346,820 = 1,346,820/x
  3. Step 3: Cross multiply
    897,907x = 1,346,820 × 1,346,820
  4. Step 4: Simplify right side
    897,907x = 1,813,924,112,400
  5. Step 5: Solve for x
    x = 1,813,924,112,400/897,907
  6. Step 6: Final answer
    x = 2,020,169.25

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