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Finding the Third Proportional to 434,459.53 and 946,154.25

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Solution

The third proportional to 434,459.53 and 946,154.25 is: 2,060,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,459.53 : 946,154.25 = 946,154.25 : x
  2. Step 2: Convert to fraction form
    434,459.53/946,154.25 = 946,154.25/x
  3. Step 3: Cross multiply
    434,459.53x = 946,154.25 × 946,154.25
  4. Step 4: Simplify right side
    434,459.53x = 895,207,864,793.06
  5. Step 5: Solve for x
    x = 895,207,864,793.06/434,459.53
  6. Step 6: Final answer
    x = 2,060,509.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.