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Finding the Third Proportional to 891,965 and 1,271,515.50

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Solution

The third proportional to 891,965 and 1,271,515.50 is: 1,812,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,965 : 1,271,515.50 = 1,271,515.50 : x
  2. Step 2: Convert to fraction form
    891,965/1,271,515.50 = 1,271,515.50/x
  3. Step 3: Cross multiply
    891,965x = 1,271,515.50 × 1,271,515.50
  4. Step 4: Simplify right side
    891,965x = 1,616,751,666,740.25
  5. Step 5: Solve for x
    x = 1,616,751,666,740.25/891,965
  6. Step 6: Final answer
    x = 1,812,572.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.