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Finding the Third Proportional to 545,520,482 and 1,196,656,540

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Solution

The third proportional to 545,520,482 and 1,196,656,540 is: 2,624,991,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,520,482 : 1,196,656,540 = 1,196,656,540 : x
  2. Step 2: Convert to fraction form
    545,520,482/1,196,656,540 = 1,196,656,540/x
  3. Step 3: Cross multiply
    545,520,482x = 1,196,656,540 × 1,196,656,540
  4. Step 4: Simplify right side
    545,520,482x = 1,431,986,874,724,771,584
  5. Step 5: Solve for x
    x = 1,431,986,874,724,771,584/545,520,482
  6. Step 6: Final answer
    x = 2,624,991,951.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.