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Finding the Third Proportional to 973,215 and 1,301,811.75

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Solution

The third proportional to 973,215 and 1,301,811.75 is: 1,741,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,215 : 1,301,811.75 = 1,301,811.75 : x
  2. Step 2: Convert to fraction form
    973,215/1,301,811.75 = 1,301,811.75/x
  3. Step 3: Cross multiply
    973,215x = 1,301,811.75 × 1,301,811.75
  4. Step 4: Simplify right side
    973,215x = 1,694,713,832,438.06
  5. Step 5: Solve for x
    x = 1,694,713,832,438.06/973,215
  6. Step 6: Final answer
    x = 1,741,356.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.