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Finding the Third Proportional to 897,259.15 and 1,346,544.95

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Solution

The third proportional to 897,259.15 and 1,346,544.95 is: 2,020,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,259.15 : 1,346,544.95 = 1,346,544.95 : x
  2. Step 2: Convert to fraction form
    897,259.15/1,346,544.95 = 1,346,544.95/x
  3. Step 3: Cross multiply
    897,259.15x = 1,346,544.95 × 1,346,544.95
  4. Step 4: Simplify right side
    897,259.15x = 1,813,183,300,266.66
  5. Step 5: Solve for x
    x = 1,813,183,300,266.66/897,259.15
  6. Step 6: Final answer
    x = 2,020,802.24

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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.